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Finding the Fourth Proportional to 3,084, 4,253.92 and 2,077.44

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Solution

The fourth proportional to 3,084, 4,253.92 and 2,077.44 is: 2,865.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084 : 4,253.92 = 2,077.44 : x
  2. Step 2: Convert to fraction form
    3,084/4,253.92 = 2,077.44/x
  3. Step 3: Cross multiply
    3,084x = 4,253.92 × 2,077.44
  4. Step 4: Simplify right side
    3,084x = 8,837,263.56
  5. Step 5: Solve for x
    x = 8,837,263.56/3,084
  6. Step 6: Final answer
    x = 2,865.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.