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Finding the Fourth Proportional to 2,686.42, 3,706.60 and 2,057.66

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Solution

The fourth proportional to 2,686.42, 3,706.60 and 2,057.66 is: 2,839.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.42 : 3,706.60 = 2,057.66 : x
  2. Step 2: Convert to fraction form
    2,686.42/3,706.60 = 2,057.66/x
  3. Step 3: Cross multiply
    2,686.42x = 3,706.60 × 2,057.66
  4. Step 4: Simplify right side
    2,686.42x = 7,626,893.73
  5. Step 5: Solve for x
    x = 7,626,893.73/2,686.42
  6. Step 6: Final answer
    x = 2,839.06

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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.