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Finding the Fourth Proportional to 3,329.74, 4,991.64 and 1,380.70

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Solution

The fourth proportional to 3,329.74, 4,991.64 and 1,380.70 is: 2,069.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,329.74 : 4,991.64 = 1,380.70 : x
  2. Step 2: Convert to fraction form
    3,329.74/4,991.64 = 1,380.70/x
  3. Step 3: Cross multiply
    3,329.74x = 4,991.64 × 1,380.70
  4. Step 4: Simplify right side
    3,329.74x = 6,891,957.35
  5. Step 5: Solve for x
    x = 6,891,957.35/3,329.74
  6. Step 6: Final answer
    x = 2,069.82

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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.