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Finding the Fourth Proportional to 1,610.15, 2,412.43 and 731.25

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Solution

The fourth proportional to 1,610.15, 2,412.43 and 731.25 is: 1,095.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.15 : 2,412.43 = 731.25 : x
  2. Step 2: Convert to fraction form
    1,610.15/2,412.43 = 731.25/x
  3. Step 3: Cross multiply
    1,610.15x = 2,412.43 × 731.25
  4. Step 4: Simplify right side
    1,610.15x = 1,764,087.61
  5. Step 5: Solve for x
    x = 1,764,087.61/1,610.15
  6. Step 6: Final answer
    x = 1,095.61

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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.