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Finding the Fourth Proportional to 2,768.74, 4,149.69 and 2,375.98

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Solution

The fourth proportional to 2,768.74, 4,149.69 and 2,375.98 is: 3,561.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.74 : 4,149.69 = 2,375.98 : x
  2. Step 2: Convert to fraction form
    2,768.74/4,149.69 = 2,375.98/x
  3. Step 3: Cross multiply
    2,768.74x = 4,149.69 × 2,375.98
  4. Step 4: Simplify right side
    2,768.74x = 9,859,580.45
  5. Step 5: Solve for x
    x = 9,859,580.45/2,768.74
  6. Step 6: Final answer
    x = 3,561.04

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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.