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Finding the Fourth Proportional to 2,568.80, 3,546.47 and 1,686.15

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Solution

The fourth proportional to 2,568.80, 3,546.47 and 1,686.15 is: 2,327.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.80 : 3,546.47 = 1,686.15 : x
  2. Step 2: Convert to fraction form
    2,568.80/3,546.47 = 1,686.15/x
  3. Step 3: Cross multiply
    2,568.80x = 3,546.47 × 1,686.15
  4. Step 4: Simplify right side
    2,568.80x = 5,979,854.23
  5. Step 5: Solve for x
    x = 5,979,854.23/2,568.80
  6. Step 6: Final answer
    x = 2,327.88

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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.