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Finding the Fourth Proportional to 2,842.30, 3,920.97 and 2,448.64

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Solution

The fourth proportional to 2,842.30, 3,920.97 and 2,448.64 is: 3,377.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.30 : 3,920.97 = 2,448.64 : x
  2. Step 2: Convert to fraction form
    2,842.30/3,920.97 = 2,448.64/x
  3. Step 3: Cross multiply
    2,842.30x = 3,920.97 × 2,448.64
  4. Step 4: Simplify right side
    2,842.30x = 9,601,043.98
  5. Step 5: Solve for x
    x = 9,601,043.98/2,842.30
  6. Step 6: Final answer
    x = 3,377.91

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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.