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Finding the Fourth Proportional to 1,374.42, 2,061.76 and 449.74

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Solution

The fourth proportional to 1,374.42, 2,061.76 and 449.74 is: 674.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.42 : 2,061.76 = 449.74 : x
  2. Step 2: Convert to fraction form
    1,374.42/2,061.76 = 449.74/x
  3. Step 3: Cross multiply
    1,374.42x = 2,061.76 × 449.74
  4. Step 4: Simplify right side
    1,374.42x = 927,255.94
  5. Step 5: Solve for x
    x = 927,255.94/1,374.42
  6. Step 6: Final answer
    x = 674.65

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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.