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Finding the Fourth Proportional to 1,610.18, 2,414.66 and 685.26

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Solution

The fourth proportional to 1,610.18, 2,414.66 and 685.26 is: 1,027.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.18 : 2,414.66 = 685.26 : x
  2. Step 2: Convert to fraction form
    1,610.18/2,414.66 = 685.26/x
  3. Step 3: Cross multiply
    1,610.18x = 2,414.66 × 685.26
  4. Step 4: Simplify right side
    1,610.18x = 1,654,670.34
  5. Step 5: Solve for x
    x = 1,654,670.34/1,610.18
  6. Step 6: Final answer
    x = 1,027.63

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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.