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Finding the Fourth Proportional to 2,685.88, 3,706.92 and 1,638.55

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Solution

The fourth proportional to 2,685.88, 3,706.92 and 1,638.55 is: 2,261.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.88 : 3,706.92 = 1,638.55 : x
  2. Step 2: Convert to fraction form
    2,685.88/3,706.92 = 1,638.55/x
  3. Step 3: Cross multiply
    2,685.88x = 3,706.92 × 1,638.55
  4. Step 4: Simplify right side
    2,685.88x = 6,073,947.04
  5. Step 5: Solve for x
    x = 6,073,947.04/2,685.88
  6. Step 6: Final answer
    x = 2,261.44

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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.