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Finding the Fourth Proportional to 1,610.51, 2,414.97 and 685.85

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Solution

The fourth proportional to 1,610.51, 2,414.97 and 685.85 is: 1,028.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.51 : 2,414.97 = 685.85 : x
  2. Step 2: Convert to fraction form
    1,610.51/2,414.97 = 685.85/x
  3. Step 3: Cross multiply
    1,610.51x = 2,414.97 × 685.85
  4. Step 4: Simplify right side
    1,610.51x = 1,656,295.10
  5. Step 5: Solve for x
    x = 1,656,295.10/1,610.51
  6. Step 6: Final answer
    x = 1,028.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.