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Finding the Fourth Proportional to 1,686.57, 2,327.42 and 1,057.44

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Solution

The fourth proportional to 1,686.57, 2,327.42 and 1,057.44 is: 1,459.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.57 : 2,327.42 = 1,057.44 : x
  2. Step 2: Convert to fraction form
    1,686.57/2,327.42 = 1,057.44/x
  3. Step 3: Cross multiply
    1,686.57x = 2,327.42 × 1,057.44
  4. Step 4: Simplify right side
    1,686.57x = 2,461,101.72
  5. Step 5: Solve for x
    x = 2,461,101.72/1,686.57
  6. Step 6: Final answer
    x = 1,459.23

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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.