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Finding the Fourth Proportional to 3,100.73, 4,279.29 and 2,038.55

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Solution

The fourth proportional to 3,100.73, 4,279.29 and 2,038.55 is: 2,813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.73 : 4,279.29 = 2,038.55 : x
  2. Step 2: Convert to fraction form
    3,100.73/4,279.29 = 2,038.55/x
  3. Step 3: Cross multiply
    3,100.73x = 4,279.29 × 2,038.55
  4. Step 4: Simplify right side
    3,100.73x = 8,723,546.63
  5. Step 5: Solve for x
    x = 8,723,546.63/3,100.73
  6. Step 6: Final answer
    x = 2,813.38

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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.