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Finding the Fourth Proportional to 3,278.20, 4,918.10 and 969.70

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Solution

The fourth proportional to 3,278.20, 4,918.10 and 969.70 is: 1,454.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.20 : 4,918.10 = 969.70 : x
  2. Step 2: Convert to fraction form
    3,278.20/4,918.10 = 969.70/x
  3. Step 3: Cross multiply
    3,278.20x = 4,918.10 × 969.70
  4. Step 4: Simplify right side
    3,278.20x = 4,769,081.57
  5. Step 5: Solve for x
    x = 4,769,081.57/3,278.20
  6. Step 6: Final answer
    x = 1,454.79

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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.