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Finding the Fourth Proportional to 2,497.28, 3,446.16 and 1,449.20

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Solution

The fourth proportional to 2,497.28, 3,446.16 and 1,449.20 is: 1,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.28 : 3,446.16 = 1,449.20 : x
  2. Step 2: Convert to fraction form
    2,497.28/3,446.16 = 1,449.20/x
  3. Step 3: Cross multiply
    2,497.28x = 3,446.16 × 1,449.20
  4. Step 4: Simplify right side
    2,497.28x = 4,994,175.07
  5. Step 5: Solve for x
    x = 4,994,175.07/2,497.28
  6. Step 6: Final answer
    x = 1,999.85

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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.