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Finding the Fourth Proportional to 2,458.54, 3,388.49 and 2,141.82

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Solution

The fourth proportional to 2,458.54, 3,388.49 and 2,141.82 is: 2,951.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.54 : 3,388.49 = 2,141.82 : x
  2. Step 2: Convert to fraction form
    2,458.54/3,388.49 = 2,141.82/x
  3. Step 3: Cross multiply
    2,458.54x = 3,388.49 × 2,141.82
  4. Step 4: Simplify right side
    2,458.54x = 7,257,535.65
  5. Step 5: Solve for x
    x = 7,257,535.65/2,458.54
  6. Step 6: Final answer
    x = 2,951.97

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