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Finding the Fourth Proportional to 1,422.74, 2,134.02 and 449.48

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Solution

The fourth proportional to 1,422.74, 2,134.02 and 449.48 is: 674.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.74 : 2,134.02 = 449.48 : x
  2. Step 2: Convert to fraction form
    1,422.74/2,134.02 = 449.48/x
  3. Step 3: Cross multiply
    1,422.74x = 2,134.02 × 449.48
  4. Step 4: Simplify right side
    1,422.74x = 959,199.31
  5. Step 5: Solve for x
    x = 959,199.31/1,422.74
  6. Step 6: Final answer
    x = 674.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.