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Finding the Fourth Proportional to 3,298.80, 4,947.65 and 1,449.42

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Solution

The fourth proportional to 3,298.80, 4,947.65 and 1,449.42 is: 2,173.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.80 : 4,947.65 = 1,449.42 : x
  2. Step 2: Convert to fraction form
    3,298.80/4,947.65 = 1,449.42/x
  3. Step 3: Cross multiply
    3,298.80x = 4,947.65 × 1,449.42
  4. Step 4: Simplify right side
    3,298.80x = 7,171,222.86
  5. Step 5: Solve for x
    x = 7,171,222.86/3,298.80
  6. Step 6: Final answer
    x = 2,173.89

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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.