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Finding the Fourth Proportional to 1,527.59, 2,290.12 and 1,332.11

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Solution

The fourth proportional to 1,527.59, 2,290.12 and 1,332.11 is: 1,997.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.59 : 2,290.12 = 1,332.11 : x
  2. Step 2: Convert to fraction form
    1,527.59/2,290.12 = 1,332.11/x
  3. Step 3: Cross multiply
    1,527.59x = 2,290.12 × 1,332.11
  4. Step 4: Simplify right side
    1,527.59x = 3,050,691.75
  5. Step 5: Solve for x
    x = 3,050,691.75/1,527.59
  6. Step 6: Final answer
    x = 1,997.06

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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.