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Finding the Fourth Proportional to 2,733.90, 4,100.85 and 2,247.90

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Solution

The fourth proportional to 2,733.90, 4,100.85 and 2,247.90 is: 3,371.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.90 : 4,100.85 = 2,247.90 : x
  2. Step 2: Convert to fraction form
    2,733.90/4,100.85 = 2,247.90/x
  3. Step 3: Cross multiply
    2,733.90x = 4,100.85 × 2,247.90
  4. Step 4: Simplify right side
    2,733.90x = 9,218,300.72
  5. Step 5: Solve for x
    x = 9,218,300.72/2,733.90
  6. Step 6: Final answer
    x = 3,371.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.