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Finding the Fourth Proportional to 2,717.90, 4,077.14 and 868.58

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Solution

The fourth proportional to 2,717.90, 4,077.14 and 868.58 is: 1,302.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.90 : 4,077.14 = 868.58 : x
  2. Step 2: Convert to fraction form
    2,717.90/4,077.14 = 868.58/x
  3. Step 3: Cross multiply
    2,717.90x = 4,077.14 × 868.58
  4. Step 4: Simplify right side
    2,717.90x = 3,541,322.26
  5. Step 5: Solve for x
    x = 3,541,322.26/2,717.90
  6. Step 6: Final answer
    x = 1,302.96

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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.