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Finding the Fourth Proportional to 2,701.70, 4,052.55 and 2,086.31

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Solution

The fourth proportional to 2,701.70, 4,052.55 and 2,086.31 is: 3,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.70 : 4,052.55 = 2,086.31 : x
  2. Step 2: Convert to fraction form
    2,701.70/4,052.55 = 2,086.31/x
  3. Step 3: Cross multiply
    2,701.70x = 4,052.55 × 2,086.31
  4. Step 4: Simplify right side
    2,701.70x = 8,454,863.15
  5. Step 5: Solve for x
    x = 8,454,863.15/2,701.70
  6. Step 6: Final answer
    x = 3,129.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.