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Finding the Fourth Proportional to 2,609.78, 3,915.84 and 1,149.36

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Solution

The fourth proportional to 2,609.78, 3,915.84 and 1,149.36 is: 1,724.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.78 : 3,915.84 = 1,149.36 : x
  2. Step 2: Convert to fraction form
    2,609.78/3,915.84 = 1,149.36/x
  3. Step 3: Cross multiply
    2,609.78x = 3,915.84 × 1,149.36
  4. Step 4: Simplify right side
    2,609.78x = 4,500,709.86
  5. Step 5: Solve for x
    x = 4,500,709.86/2,609.78
  6. Step 6: Final answer
    x = 1,724.56

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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.