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Finding the Fourth Proportional to 1,447.34, 2,171.12 and 581.66

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Solution

The fourth proportional to 1,447.34, 2,171.12 and 581.66 is: 872.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.34 : 2,171.12 = 581.66 : x
  2. Step 2: Convert to fraction form
    1,447.34/2,171.12 = 581.66/x
  3. Step 3: Cross multiply
    1,447.34x = 2,171.12 × 581.66
  4. Step 4: Simplify right side
    1,447.34x = 1,262,853.66
  5. Step 5: Solve for x
    x = 1,262,853.66/1,447.34
  6. Step 6: Final answer
    x = 872.53

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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.