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Finding the Fourth Proportional to 3,182.56, 4,773.84 and 991.42

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Solution

The fourth proportional to 3,182.56, 4,773.84 and 991.42 is: 1,487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.56 : 4,773.84 = 991.42 : x
  2. Step 2: Convert to fraction form
    3,182.56/4,773.84 = 991.42/x
  3. Step 3: Cross multiply
    3,182.56x = 4,773.84 × 991.42
  4. Step 4: Simplify right side
    3,182.56x = 4,732,880.45
  5. Step 5: Solve for x
    x = 4,732,880.45/3,182.56
  6. Step 6: Final answer
    x = 1,487.13

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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.