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Finding the Fourth Proportional to 1,712.97, 2,568.17 and 1,539.14

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Solution

The fourth proportional to 1,712.97, 2,568.17 and 1,539.14 is: 2,307.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.97 : 2,568.17 = 1,539.14 : x
  2. Step 2: Convert to fraction form
    1,712.97/2,568.17 = 1,539.14/x
  3. Step 3: Cross multiply
    1,712.97x = 2,568.17 × 1,539.14
  4. Step 4: Simplify right side
    1,712.97x = 3,952,764.18
  5. Step 5: Solve for x
    x = 3,952,764.18/1,712.97
  6. Step 6: Final answer
    x = 2,307.55

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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.