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Finding the Fourth Proportional to 3,182.80, 4,774.38 and 991.84

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Solution

The fourth proportional to 3,182.80, 4,774.38 and 991.84 is: 1,487.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.80 : 4,774.38 = 991.84 : x
  2. Step 2: Convert to fraction form
    3,182.80/4,774.38 = 991.84/x
  3. Step 3: Cross multiply
    3,182.80x = 4,774.38 × 991.84
  4. Step 4: Simplify right side
    3,182.80x = 4,735,421.06
  5. Step 5: Solve for x
    x = 4,735,421.06/3,182.80
  6. Step 6: Final answer
    x = 1,487.82

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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.