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Finding the Fourth Proportional to 2,863.52, 4,295.24 and 915.24

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Solution

The fourth proportional to 2,863.52, 4,295.24 and 915.24 is: 1,372.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.52 : 4,295.24 = 915.24 : x
  2. Step 2: Convert to fraction form
    2,863.52/4,295.24 = 915.24/x
  3. Step 3: Cross multiply
    2,863.52x = 4,295.24 × 915.24
  4. Step 4: Simplify right side
    2,863.52x = 3,931,175.46
  5. Step 5: Solve for x
    x = 3,931,175.46/2,863.52
  6. Step 6: Final answer
    x = 1,372.85

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1.5x scale

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.