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Finding the Fourth Proportional to 3,074.76, 4,242.11 and 2,366.82

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Solution

The fourth proportional to 3,074.76, 4,242.11 and 2,366.82 is: 3,265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.76 : 4,242.11 = 2,366.82 : x
  2. Step 2: Convert to fraction form
    3,074.76/4,242.11 = 2,366.82/x
  3. Step 3: Cross multiply
    3,074.76x = 4,242.11 × 2,366.82
  4. Step 4: Simplify right side
    3,074.76x = 10,040,298.96
  5. Step 5: Solve for x
    x = 10,040,298.96/3,074.76
  6. Step 6: Final answer
    x = 3,265.39

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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.