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Finding the Fourth Proportional to 2,915.25, 4,371.58 and 834.78

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Solution

The fourth proportional to 2,915.25, 4,371.58 and 834.78 is: 1,251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915.25 : 4,371.58 = 834.78 : x
  2. Step 2: Convert to fraction form
    2,915.25/4,371.58 = 834.78/x
  3. Step 3: Cross multiply
    2,915.25x = 4,371.58 × 834.78
  4. Step 4: Simplify right side
    2,915.25x = 3,649,292.20
  5. Step 5: Solve for x
    x = 3,649,292.20/2,915.25
  6. Step 6: Final answer
    x = 1,251.80

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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.