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Finding the Fourth Proportional to 2,449.40, 3,380.16 and 1,401.46

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Solution

The fourth proportional to 2,449.40, 3,380.16 and 1,401.46 is: 1,934.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.40 : 3,380.16 = 1,401.46 : x
  2. Step 2: Convert to fraction form
    2,449.40/3,380.16 = 1,401.46/x
  3. Step 3: Cross multiply
    2,449.40x = 3,380.16 × 1,401.46
  4. Step 4: Simplify right side
    2,449.40x = 4,737,159.03
  5. Step 5: Solve for x
    x = 4,737,159.03/2,449.40
  6. Step 6: Final answer
    x = 1,934.01

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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.