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Finding the Fourth Proportional to 1,591.21, 2,384.24 and 861.13

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Solution

The fourth proportional to 1,591.21, 2,384.24 and 861.13 is: 1,290.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.21 : 2,384.24 = 861.13 : x
  2. Step 2: Convert to fraction form
    1,591.21/2,384.24 = 861.13/x
  3. Step 3: Cross multiply
    1,591.21x = 2,384.24 × 861.13
  4. Step 4: Simplify right side
    1,591.21x = 2,053,128.67
  5. Step 5: Solve for x
    x = 2,053,128.67/1,591.21
  6. Step 6: Final answer
    x = 1,290.30

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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.