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Finding the Fourth Proportional to 3,061.68, 4,591.87 and 981.13

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Solution

The fourth proportional to 3,061.68, 4,591.87 and 981.13 is: 1,471.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.68 : 4,591.87 = 981.13 : x
  2. Step 2: Convert to fraction form
    3,061.68/4,591.87 = 981.13/x
  3. Step 3: Cross multiply
    3,061.68x = 4,591.87 × 981.13
  4. Step 4: Simplify right side
    3,061.68x = 4,505,193.55
  5. Step 5: Solve for x
    x = 4,505,193.55/3,061.68
  6. Step 6: Final answer
    x = 1,471.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.