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Finding the Fourth Proportional to 2,288.52, 3,158.10 and 1,615.61

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Solution

The fourth proportional to 2,288.52, 3,158.10 and 1,615.61 is: 2,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.52 : 3,158.10 = 1,615.61 : x
  2. Step 2: Convert to fraction form
    2,288.52/3,158.10 = 1,615.61/x
  3. Step 3: Cross multiply
    2,288.52x = 3,158.10 × 1,615.61
  4. Step 4: Simplify right side
    2,288.52x = 5,102,265.84
  5. Step 5: Solve for x
    x = 5,102,265.84/2,288.52
  6. Step 6: Final answer
    x = 2,229.50

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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.