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Finding the Fourth Proportional to 2,609.92, 3,915.42 and 878.50

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Solution

The fourth proportional to 2,609.92, 3,915.42 and 878.50 is: 1,317.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.92 : 3,915.42 = 878.50 : x
  2. Step 2: Convert to fraction form
    2,609.92/3,915.42 = 878.50/x
  3. Step 3: Cross multiply
    2,609.92x = 3,915.42 × 878.50
  4. Step 4: Simplify right side
    2,609.92x = 3,439,696.47
  5. Step 5: Solve for x
    x = 3,439,696.47/2,609.92
  6. Step 6: Final answer
    x = 1,317.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.