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Finding the Fourth Proportional to 2,455.38, 3,391.74 and 2,280.42

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Solution

The fourth proportional to 2,455.38, 3,391.74 and 2,280.42 is: 3,150.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.38 : 3,391.74 = 2,280.42 : x
  2. Step 2: Convert to fraction form
    2,455.38/3,391.74 = 2,280.42/x
  3. Step 3: Cross multiply
    2,455.38x = 3,391.74 × 2,280.42
  4. Step 4: Simplify right side
    2,455.38x = 7,734,591.73
  5. Step 5: Solve for x
    x = 7,734,591.73/2,455.38
  6. Step 6: Final answer
    x = 3,150.06

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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.