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Finding the Fourth Proportional to 2,691.52, 3,714.56 and 1,512.80

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Solution

The fourth proportional to 2,691.52, 3,714.56 and 1,512.80 is: 2,087.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.52 : 3,714.56 = 1,512.80 : x
  2. Step 2: Convert to fraction form
    2,691.52/3,714.56 = 1,512.80/x
  3. Step 3: Cross multiply
    2,691.52x = 3,714.56 × 1,512.80
  4. Step 4: Simplify right side
    2,691.52x = 5,619,386.37
  5. Step 5: Solve for x
    x = 5,619,386.37/2,691.52
  6. Step 6: Final answer
    x = 2,087.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.