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Finding the Fourth Proportional to 2,714.58, 4,072.28 and 865.76

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Solution

The fourth proportional to 2,714.58, 4,072.28 and 865.76 is: 1,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.58 : 4,072.28 = 865.76 : x
  2. Step 2: Convert to fraction form
    2,714.58/4,072.28 = 865.76/x
  3. Step 3: Cross multiply
    2,714.58x = 4,072.28 × 865.76
  4. Step 4: Simplify right side
    2,714.58x = 3,525,592.44
  5. Step 5: Solve for x
    x = 3,525,592.44/2,714.58
  6. Step 6: Final answer
    x = 1,298.76

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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.