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Finding the Fourth Proportional to 2,449.54, 3,380.34 and 1,330.53

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Solution

The fourth proportional to 2,449.54, 3,380.34 and 1,330.53 is: 1,836.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.54 : 3,380.34 = 1,330.53 : x
  2. Step 2: Convert to fraction form
    2,449.54/3,380.34 = 1,330.53/x
  3. Step 3: Cross multiply
    2,449.54x = 3,380.34 × 1,330.53
  4. Step 4: Simplify right side
    2,449.54x = 4,497,643.78
  5. Step 5: Solve for x
    x = 4,497,643.78/2,449.54
  6. Step 6: Final answer
    x = 1,836.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.