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Finding the Fourth Proportional to 2,689.89, 3,706.80 and 1,902.57

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Solution

The fourth proportional to 2,689.89, 3,706.80 and 1,902.57 is: 2,621.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.89 : 3,706.80 = 1,902.57 : x
  2. Step 2: Convert to fraction form
    2,689.89/3,706.80 = 1,902.57/x
  3. Step 3: Cross multiply
    2,689.89x = 3,706.80 × 1,902.57
  4. Step 4: Simplify right side
    2,689.89x = 7,052,446.48
  5. Step 5: Solve for x
    x = 7,052,446.48/2,689.89
  6. Step 6: Final answer
    x = 2,621.83

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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.