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Finding the Fourth Proportional to 3,178.81, 4,767.63 and 1,329.43

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Solution

The fourth proportional to 3,178.81, 4,767.63 and 1,329.43 is: 1,993.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.81 : 4,767.63 = 1,329.43 : x
  2. Step 2: Convert to fraction form
    3,178.81/4,767.63 = 1,329.43/x
  3. Step 3: Cross multiply
    3,178.81x = 4,767.63 × 1,329.43
  4. Step 4: Simplify right side
    3,178.81x = 6,338,230.35
  5. Step 5: Solve for x
    x = 6,338,230.35/3,178.81
  6. Step 6: Final answer
    x = 1,993.90

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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.