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Finding the Fourth Proportional to 1,374.24, 2,061.48 and 449.46

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Solution

The fourth proportional to 1,374.24, 2,061.48 and 449.46 is: 674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.24 : 2,061.48 = 449.46 : x
  2. Step 2: Convert to fraction form
    1,374.24/2,061.48 = 449.46/x
  3. Step 3: Cross multiply
    1,374.24x = 2,061.48 × 449.46
  4. Step 4: Simplify right side
    1,374.24x = 926,552.80
  5. Step 5: Solve for x
    x = 926,552.80/1,374.24
  6. Step 6: Final answer
    x = 674.23

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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.