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Finding the Fourth Proportional to 2,229.60, 3,337.12 and 1,865.12

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Solution

The fourth proportional to 2,229.60, 3,337.12 and 1,865.12 is: 2,791.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.60 : 3,337.12 = 1,865.12 : x
  2. Step 2: Convert to fraction form
    2,229.60/3,337.12 = 1,865.12/x
  3. Step 3: Cross multiply
    2,229.60x = 3,337.12 × 1,865.12
  4. Step 4: Simplify right side
    2,229.60x = 6,224,129.25
  5. Step 5: Solve for x
    x = 6,224,129.25/2,229.60
  6. Step 6: Final answer
    x = 2,791.59

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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.