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Finding the Fourth Proportional to 1,447.90, 2,171.31 and 581.92

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Solution

The fourth proportional to 1,447.90, 2,171.31 and 581.92 is: 872.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.90 : 2,171.31 = 581.92 : x
  2. Step 2: Convert to fraction form
    1,447.90/2,171.31 = 581.92/x
  3. Step 3: Cross multiply
    1,447.90x = 2,171.31 × 581.92
  4. Step 4: Simplify right side
    1,447.90x = 1,263,528.72
  5. Step 5: Solve for x
    x = 1,263,528.72/1,447.90
  6. Step 6: Final answer
    x = 872.66

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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.