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Finding the Fourth Proportional to 2,714.28, 4,071.32 and 865.50

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Solution

The fourth proportional to 2,714.28, 4,071.32 and 865.50 is: 1,298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.28 : 4,071.32 = 865.50 : x
  2. Step 2: Convert to fraction form
    2,714.28/4,071.32 = 865.50/x
  3. Step 3: Cross multiply
    2,714.28x = 4,071.32 × 865.50
  4. Step 4: Simplify right side
    2,714.28x = 3,523,702.78
  5. Step 5: Solve for x
    x = 3,523,702.78/2,714.28
  6. Step 6: Final answer
    x = 1,298.21

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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.