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Finding the Fourth Proportional to 2,499.28, 3,449 and 1,380.22

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Solution

The fourth proportional to 2,499.28, 3,449 and 1,380.22 is: 1,904.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.28 : 3,449 = 1,380.22 : x
  2. Step 2: Convert to fraction form
    2,499.28/3,449 = 1,380.22/x
  3. Step 3: Cross multiply
    2,499.28x = 3,449 × 1,380.22
  4. Step 4: Simplify right side
    2,499.28x = 4,760,378.78
  5. Step 5: Solve for x
    x = 4,760,378.78/2,499.28
  6. Step 6: Final answer
    x = 1,904.70

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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.