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Finding the Fourth Proportional to 2,841.78, 3,920.30 and 2,448.12

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Solution

The fourth proportional to 2,841.78, 3,920.30 and 2,448.12 is: 3,377.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.78 : 3,920.30 = 2,448.12 : x
  2. Step 2: Convert to fraction form
    2,841.78/3,920.30 = 2,448.12/x
  3. Step 3: Cross multiply
    2,841.78x = 3,920.30 × 2,448.12
  4. Step 4: Simplify right side
    2,841.78x = 9,597,364.84
  5. Step 5: Solve for x
    x = 9,597,364.84/2,841.78
  6. Step 6: Final answer
    x = 3,377.24

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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.