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Finding the Fourth Proportional to 2,449.58, 3,380.40 and 1,401.62

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Solution

The fourth proportional to 2,449.58, 3,380.40 and 1,401.62 is: 1,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.58 : 3,380.40 = 1,401.62 : x
  2. Step 2: Convert to fraction form
    2,449.58/3,380.40 = 1,401.62/x
  3. Step 3: Cross multiply
    2,449.58x = 3,380.40 × 1,401.62
  4. Step 4: Simplify right side
    2,449.58x = 4,738,019.35
  5. Step 5: Solve for x
    x = 4,738,019.35/2,449.58
  6. Step 6: Final answer
    x = 1,934.22

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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.