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Finding the Fourth Proportional to 2,863.62, 4,294.49 and 915.35

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Solution

The fourth proportional to 2,863.62, 4,294.49 and 915.35 is: 1,372.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.62 : 4,294.49 = 915.35 : x
  2. Step 2: Convert to fraction form
    2,863.62/4,294.49 = 915.35/x
  3. Step 3: Cross multiply
    2,863.62x = 4,294.49 × 915.35
  4. Step 4: Simplify right side
    2,863.62x = 3,930,935.37
  5. Step 5: Solve for x
    x = 3,930,935.37/2,863.62
  6. Step 6: Final answer
    x = 1,372.72

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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.