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Finding the Fourth Proportional to 2,886.20, 4,329.40 and 911.85

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Solution

The fourth proportional to 2,886.20, 4,329.40 and 911.85 is: 1,367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.20 : 4,329.40 = 911.85 : x
  2. Step 2: Convert to fraction form
    2,886.20/4,329.40 = 911.85/x
  3. Step 3: Cross multiply
    2,886.20x = 4,329.40 × 911.85
  4. Step 4: Simplify right side
    2,886.20x = 3,947,763.39
  5. Step 5: Solve for x
    x = 3,947,763.39/2,886.20
  6. Step 6: Final answer
    x = 1,367.81

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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.