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Finding the Fourth Proportional to 1,431.89, 2,147.90 and 391.87

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Solution

The fourth proportional to 1,431.89, 2,147.90 and 391.87 is: 587.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.89 : 2,147.90 = 391.87 : x
  2. Step 2: Convert to fraction form
    1,431.89/2,147.90 = 391.87/x
  3. Step 3: Cross multiply
    1,431.89x = 2,147.90 × 391.87
  4. Step 4: Simplify right side
    1,431.89x = 841,691.71
  5. Step 5: Solve for x
    x = 841,691.71/1,431.89
  6. Step 6: Final answer
    x = 587.82

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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.