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Finding the Fourth Proportional to 3,182.85, 4,774.41 and 991.62

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Solution

The fourth proportional to 3,182.85, 4,774.41 and 991.62 is: 1,487.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.85 : 4,774.41 = 991.62 : x
  2. Step 2: Convert to fraction form
    3,182.85/4,774.41 = 991.62/x
  3. Step 3: Cross multiply
    3,182.85x = 4,774.41 × 991.62
  4. Step 4: Simplify right side
    3,182.85x = 4,734,400.44
  5. Step 5: Solve for x
    x = 4,734,400.44/3,182.85
  6. Step 6: Final answer
    x = 1,487.47

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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.