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Finding the Fourth Proportional to 1,627.47, 2,441.20 and 938.64

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Solution

The fourth proportional to 1,627.47, 2,441.20 and 938.64 is: 1,407.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.47 : 2,441.20 = 938.64 : x
  2. Step 2: Convert to fraction form
    1,627.47/2,441.20 = 938.64/x
  3. Step 3: Cross multiply
    1,627.47x = 2,441.20 × 938.64
  4. Step 4: Simplify right side
    1,627.47x = 2,291,407.97
  5. Step 5: Solve for x
    x = 2,291,407.97/1,627.47
  6. Step 6: Final answer
    x = 1,407.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.