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Finding the Fourth Proportional to 2,714.48, 4,071.72 and 766.43

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Solution

The fourth proportional to 2,714.48, 4,071.72 and 766.43 is: 1,149.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.48 : 4,071.72 = 766.43 : x
  2. Step 2: Convert to fraction form
    2,714.48/4,071.72 = 766.43/x
  3. Step 3: Cross multiply
    2,714.48x = 4,071.72 × 766.43
  4. Step 4: Simplify right side
    2,714.48x = 3,120,688.36
  5. Step 5: Solve for x
    x = 3,120,688.36/2,714.48
  6. Step 6: Final answer
    x = 1,149.65

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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.