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Finding the Fourth Proportional to 2,794.76, 3,856.78 and 1,747.42

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Solution

The fourth proportional to 2,794.76, 3,856.78 and 1,747.42 is: 2,411.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.76 : 3,856.78 = 1,747.42 : x
  2. Step 2: Convert to fraction form
    2,794.76/3,856.78 = 1,747.42/x
  3. Step 3: Cross multiply
    2,794.76x = 3,856.78 × 1,747.42
  4. Step 4: Simplify right side
    2,794.76x = 6,739,414.51
  5. Step 5: Solve for x
    x = 6,739,414.51/2,794.76
  6. Step 6: Final answer
    x = 2,411.45

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Half scale
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Double scale
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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.