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Finding the Fourth Proportional to 2,862.98, 4,294.55 and 915.18

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Solution

The fourth proportional to 2,862.98, 4,294.55 and 915.18 is: 1,372.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.98 : 4,294.55 = 915.18 : x
  2. Step 2: Convert to fraction form
    2,862.98/4,294.55 = 915.18/x
  3. Step 3: Cross multiply
    2,862.98x = 4,294.55 × 915.18
  4. Step 4: Simplify right side
    2,862.98x = 3,930,281.69
  5. Step 5: Solve for x
    x = 3,930,281.69/2,862.98
  6. Step 6: Final answer
    x = 1,372.80

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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.