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Finding the Fourth Proportional to 2,449.69, 3,380.78 and 1,401.95

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Solution

The fourth proportional to 2,449.69, 3,380.78 and 1,401.95 is: 1,934.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.69 : 3,380.78 = 1,401.95 : x
  2. Step 2: Convert to fraction form
    2,449.69/3,380.78 = 1,401.95/x
  3. Step 3: Cross multiply
    2,449.69x = 3,380.78 × 1,401.95
  4. Step 4: Simplify right side
    2,449.69x = 4,739,696.48
  5. Step 5: Solve for x
    x = 4,739,696.48/2,449.69
  6. Step 6: Final answer
    x = 1,934.82

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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.