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Finding the Fourth Proportional to 2,863.20, 4,294.44 and 915.60

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Solution

The fourth proportional to 2,863.20, 4,294.44 and 915.60 is: 1,373.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.20 : 4,294.44 = 915.60 : x
  2. Step 2: Convert to fraction form
    2,863.20/4,294.44 = 915.60/x
  3. Step 3: Cross multiply
    2,863.20x = 4,294.44 × 915.60
  4. Step 4: Simplify right side
    2,863.20x = 3,931,989.26
  5. Step 5: Solve for x
    x = 3,931,989.26/2,863.20
  6. Step 6: Final answer
    x = 1,373.28

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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.