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Finding the Fourth Proportional to 2,613.52, 3,920.42 and 1,152.69

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Solution

The fourth proportional to 2,613.52, 3,920.42 and 1,152.69 is: 1,729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.52 : 3,920.42 = 1,152.69 : x
  2. Step 2: Convert to fraction form
    2,613.52/3,920.42 = 1,152.69/x
  3. Step 3: Cross multiply
    2,613.52x = 3,920.42 × 1,152.69
  4. Step 4: Simplify right side
    2,613.52x = 4,519,028.93
  5. Step 5: Solve for x
    x = 4,519,028.93/2,613.52
  6. Step 6: Final answer
    x = 1,729.10

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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.