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Finding the Fourth Proportional to 2,774.76, 3,827.43 and 1,654.92

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Solution

The fourth proportional to 2,774.76, 3,827.43 and 1,654.92 is: 2,282.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.76 : 3,827.43 = 1,654.92 : x
  2. Step 2: Convert to fraction form
    2,774.76/3,827.43 = 1,654.92/x
  3. Step 3: Cross multiply
    2,774.76x = 3,827.43 × 1,654.92
  4. Step 4: Simplify right side
    2,774.76x = 6,334,090.46
  5. Step 5: Solve for x
    x = 6,334,090.46/2,774.76
  6. Step 6: Final answer
    x = 2,282.75

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.