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Finding the Fourth Proportional to 1,517.16, 2,274.12 and 1,029

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Solution

The fourth proportional to 1,517.16, 2,274.12 and 1,029 is: 1,542.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.16 : 2,274.12 = 1,029 : x
  2. Step 2: Convert to fraction form
    1,517.16/2,274.12 = 1,029/x
  3. Step 3: Cross multiply
    1,517.16x = 2,274.12 × 1,029
  4. Step 4: Simplify right side
    1,517.16x = 2,340,069.48
  5. Step 5: Solve for x
    x = 2,340,069.48/1,517.16
  6. Step 6: Final answer
    x = 1,542.40

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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.