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Finding the Fourth Proportional to 1,627.71, 2,248.07 and 1,102.83

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Solution

The fourth proportional to 1,627.71, 2,248.07 and 1,102.83 is: 1,523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.71 : 2,248.07 = 1,102.83 : x
  2. Step 2: Convert to fraction form
    1,627.71/2,248.07 = 1,102.83/x
  3. Step 3: Cross multiply
    1,627.71x = 2,248.07 × 1,102.83
  4. Step 4: Simplify right side
    1,627.71x = 2,479,233.52
  5. Step 5: Solve for x
    x = 2,479,233.52/1,627.71
  6. Step 6: Final answer
    x = 1,523.14

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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.