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Finding the Fourth Proportional to 1,422.92, 2,134.44 and 449.04

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Solution

The fourth proportional to 1,422.92, 2,134.44 and 449.04 is: 673.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.92 : 2,134.44 = 449.04 : x
  2. Step 2: Convert to fraction form
    1,422.92/2,134.44 = 449.04/x
  3. Step 3: Cross multiply
    1,422.92x = 2,134.44 × 449.04
  4. Step 4: Simplify right side
    1,422.92x = 958,448.94
  5. Step 5: Solve for x
    x = 958,448.94/1,422.92
  6. Step 6: Final answer
    x = 673.58

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