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Finding the Fourth Proportional to 1,523.62, 2,285.52 and 1,294.12

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Solution

The fourth proportional to 1,523.62, 2,285.52 and 1,294.12 is: 1,941.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.62 : 2,285.52 = 1,294.12 : x
  2. Step 2: Convert to fraction form
    1,523.62/2,285.52 = 1,294.12/x
  3. Step 3: Cross multiply
    1,523.62x = 2,285.52 × 1,294.12
  4. Step 4: Simplify right side
    1,523.62x = 2,957,737.14
  5. Step 5: Solve for x
    x = 2,957,737.14/1,523.62
  6. Step 6: Final answer
    x = 1,941.26

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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.