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Finding the Fourth Proportional to 2,609.53, 3,909.89 and 1,291.52

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Solution

The fourth proportional to 2,609.53, 3,909.89 and 1,291.52 is: 1,935.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.53 : 3,909.89 = 1,291.52 : x
  2. Step 2: Convert to fraction form
    2,609.53/3,909.89 = 1,291.52/x
  3. Step 3: Cross multiply
    2,609.53x = 3,909.89 × 1,291.52
  4. Step 4: Simplify right side
    2,609.53x = 5,049,694.68
  5. Step 5: Solve for x
    x = 5,049,694.68/2,609.53
  6. Step 6: Final answer
    x = 1,935.10

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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.