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Finding the Fourth Proportional to 2,751.30, 4,122.90 and 2,338.20

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Solution

The fourth proportional to 2,751.30, 4,122.90 and 2,338.20 is: 3,503.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.30 : 4,122.90 = 2,338.20 : x
  2. Step 2: Convert to fraction form
    2,751.30/4,122.90 = 2,338.20/x
  3. Step 3: Cross multiply
    2,751.30x = 4,122.90 × 2,338.20
  4. Step 4: Simplify right side
    2,751.30x = 9,640,164.78
  5. Step 5: Solve for x
    x = 9,640,164.78/2,751.30
  6. Step 6: Final answer
    x = 3,503.86

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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.