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Finding the Fourth Proportional to 1,631.34, 2,447 and 591.14

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Solution

The fourth proportional to 1,631.34, 2,447 and 591.14 is: 886.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.34 : 2,447 = 591.14 : x
  2. Step 2: Convert to fraction form
    1,631.34/2,447 = 591.14/x
  3. Step 3: Cross multiply
    1,631.34x = 2,447 × 591.14
  4. Step 4: Simplify right side
    1,631.34x = 1,446,519.58
  5. Step 5: Solve for x
    x = 1,446,519.58/1,631.34
  6. Step 6: Final answer
    x = 886.71

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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.