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Finding the Fourth Proportional to 3,478.84, 4,801.26 and 2,240.44

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Solution

The fourth proportional to 3,478.84, 4,801.26 and 2,240.44 is: 3,092.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.84 : 4,801.26 = 2,240.44 : x
  2. Step 2: Convert to fraction form
    3,478.84/4,801.26 = 2,240.44/x
  3. Step 3: Cross multiply
    3,478.84x = 4,801.26 × 2,240.44
  4. Step 4: Simplify right side
    3,478.84x = 10,756,934.95
  5. Step 5: Solve for x
    x = 10,756,934.95/3,478.84
  6. Step 6: Final answer
    x = 3,092.10

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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.