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Finding the Fourth Proportional to 2,701.91, 3,725.97 and 1,639.83

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Solution

The fourth proportional to 2,701.91, 3,725.97 and 1,639.83 is: 2,261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.91 : 3,725.97 = 1,639.83 : x
  2. Step 2: Convert to fraction form
    2,701.91/3,725.97 = 1,639.83/x
  3. Step 3: Cross multiply
    2,701.91x = 3,725.97 × 1,639.83
  4. Step 4: Simplify right side
    2,701.91x = 6,109,957.39
  5. Step 5: Solve for x
    x = 6,109,957.39/2,701.91
  6. Step 6: Final answer
    x = 2,261.35

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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.