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Finding the Fourth Proportional to 2,915.52, 4,023.18 and 1,589.14

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Solution

The fourth proportional to 2,915.52, 4,023.18 and 1,589.14 is: 2,192.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915.52 : 4,023.18 = 1,589.14 : x
  2. Step 2: Convert to fraction form
    2,915.52/4,023.18 = 1,589.14/x
  3. Step 3: Cross multiply
    2,915.52x = 4,023.18 × 1,589.14
  4. Step 4: Simplify right side
    2,915.52x = 6,393,396.27
  5. Step 5: Solve for x
    x = 6,393,396.27/2,915.52
  6. Step 6: Final answer
    x = 2,192.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.