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Finding the Fourth Proportional to 1,517.20, 2,275.06 and 543.06

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Solution

The fourth proportional to 1,517.20, 2,275.06 and 543.06 is: 814.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.20 : 2,275.06 = 543.06 : x
  2. Step 2: Convert to fraction form
    1,517.20/2,275.06 = 543.06/x
  3. Step 3: Cross multiply
    1,517.20x = 2,275.06 × 543.06
  4. Step 4: Simplify right side
    1,517.20x = 1,235,494.08
  5. Step 5: Solve for x
    x = 1,235,494.08/1,517.20
  6. Step 6: Final answer
    x = 814.33

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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.