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Finding the Fourth Proportional to 3,062.18, 4,591.86 and 981.78

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Solution

The fourth proportional to 3,062.18, 4,591.86 and 981.78 is: 1,472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.18 : 4,591.86 = 981.78 : x
  2. Step 2: Convert to fraction form
    3,062.18/4,591.86 = 981.78/x
  3. Step 3: Cross multiply
    3,062.18x = 4,591.86 × 981.78
  4. Step 4: Simplify right side
    3,062.18x = 4,508,196.31
  5. Step 5: Solve for x
    x = 4,508,196.31/3,062.18
  6. Step 6: Final answer
    x = 1,472.22

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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.