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Finding the Fourth Proportional to 1,517.28, 2,274.24 and 866.58

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Solution

The fourth proportional to 1,517.28, 2,274.24 and 866.58 is: 1,298.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.28 : 2,274.24 = 866.58 : x
  2. Step 2: Convert to fraction form
    1,517.28/2,274.24 = 866.58/x
  3. Step 3: Cross multiply
    1,517.28x = 2,274.24 × 866.58
  4. Step 4: Simplify right side
    1,517.28x = 1,970,810.90
  5. Step 5: Solve for x
    x = 1,970,810.90/1,517.28
  6. Step 6: Final answer
    x = 1,298.91

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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.