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Finding the Fourth Proportional to 3,113.78, 4,294.22 and 2,449.44

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Solution

The fourth proportional to 3,113.78, 4,294.22 and 2,449.44 is: 3,378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.78 : 4,294.22 = 2,449.44 : x
  2. Step 2: Convert to fraction form
    3,113.78/4,294.22 = 2,449.44/x
  3. Step 3: Cross multiply
    3,113.78x = 4,294.22 × 2,449.44
  4. Step 4: Simplify right side
    3,113.78x = 10,518,421.99
  5. Step 5: Solve for x
    x = 10,518,421.99/3,113.78
  6. Step 6: Final answer
    x = 3,378.03

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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.