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Finding the Fourth Proportional to 2,609.49, 3,915.59 and 1,149.87

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Solution

The fourth proportional to 2,609.49, 3,915.59 and 1,149.87 is: 1,725.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.49 : 3,915.59 = 1,149.87 : x
  2. Step 2: Convert to fraction form
    2,609.49/3,915.59 = 1,149.87/x
  3. Step 3: Cross multiply
    2,609.49x = 3,915.59 × 1,149.87
  4. Step 4: Simplify right side
    2,609.49x = 4,502,413.72
  5. Step 5: Solve for x
    x = 4,502,413.72/2,609.49
  6. Step 6: Final answer
    x = 1,725.40

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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.