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Finding the Fourth Proportional to 1,447.25, 2,170.87 and 351.61

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Solution

The fourth proportional to 1,447.25, 2,170.87 and 351.61 is: 527.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.25 : 2,170.87 = 351.61 : x
  2. Step 2: Convert to fraction form
    1,447.25/2,170.87 = 351.61/x
  3. Step 3: Cross multiply
    1,447.25x = 2,170.87 × 351.61
  4. Step 4: Simplify right side
    1,447.25x = 763,293.29
  5. Step 5: Solve for x
    x = 763,293.29/1,447.25
  6. Step 6: Final answer
    x = 527.41

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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.