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Finding the Fourth Proportional to 1,627.47, 2,246.42 and 929.31

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Solution

The fourth proportional to 1,627.47, 2,246.42 and 929.31 is: 1,282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.47 : 2,246.42 = 929.31 : x
  2. Step 2: Convert to fraction form
    1,627.47/2,246.42 = 929.31/x
  3. Step 3: Cross multiply
    1,627.47x = 2,246.42 × 929.31
  4. Step 4: Simplify right side
    1,627.47x = 2,087,615.92
  5. Step 5: Solve for x
    x = 2,087,615.92/1,627.47
  6. Step 6: Final answer
    x = 1,282.74

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