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Finding the Fourth Proportional to 2,656.09, 3,984.14 and 923.50

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Solution

The fourth proportional to 2,656.09, 3,984.14 and 923.50 is: 1,385.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.09 : 3,984.14 = 923.50 : x
  2. Step 2: Convert to fraction form
    2,656.09/3,984.14 = 923.50/x
  3. Step 3: Cross multiply
    2,656.09x = 3,984.14 × 923.50
  4. Step 4: Simplify right side
    2,656.09x = 3,679,353.29
  5. Step 5: Solve for x
    x = 3,679,353.29/2,656.09
  6. Step 6: Final answer
    x = 1,385.25

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.