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Finding the Fourth Proportional to 2,691.77, 3,714.83 and 1,512.95

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Solution

The fourth proportional to 2,691.77, 3,714.83 and 1,512.95 is: 2,087.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.77 : 3,714.83 = 1,512.95 : x
  2. Step 2: Convert to fraction form
    2,691.77/3,714.83 = 1,512.95/x
  3. Step 3: Cross multiply
    2,691.77x = 3,714.83 × 1,512.95
  4. Step 4: Simplify right side
    2,691.77x = 5,620,344.48
  5. Step 5: Solve for x
    x = 5,620,344.48/2,691.77
  6. Step 6: Final answer
    x = 2,087.97

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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.