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Finding the Fourth Proportional to 1,610.88, 2,414.15 and 1,325.76

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Solution

The fourth proportional to 1,610.88, 2,414.15 and 1,325.76 is: 1,986.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.88 : 2,414.15 = 1,325.76 : x
  2. Step 2: Convert to fraction form
    1,610.88/2,414.15 = 1,325.76/x
  3. Step 3: Cross multiply
    1,610.88x = 2,414.15 × 1,325.76
  4. Step 4: Simplify right side
    1,610.88x = 3,200,580.25
  5. Step 5: Solve for x
    x = 3,200,580.25/1,610.88
  6. Step 6: Final answer
    x = 1,986.86

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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.