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Finding the Fourth Proportional to 2,691.70, 3,714.71 and 1,512.86

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Solution

The fourth proportional to 2,691.70, 3,714.71 and 1,512.86 is: 2,087.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.70 : 3,714.71 = 1,512.86 : x
  2. Step 2: Convert to fraction form
    2,691.70/3,714.71 = 1,512.86/x
  3. Step 3: Cross multiply
    2,691.70x = 3,714.71 × 1,512.86
  4. Step 4: Simplify right side
    2,691.70x = 5,619,810.03
  5. Step 5: Solve for x
    x = 5,619,810.03/2,691.70
  6. Step 6: Final answer
    x = 2,087.83

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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.