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Finding the Fourth Proportional to 1,493.73, 2,241.75 and 1,034.72

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Solution

The fourth proportional to 1,493.73, 2,241.75 and 1,034.72 is: 1,552.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.73 : 2,241.75 = 1,034.72 : x
  2. Step 2: Convert to fraction form
    1,493.73/2,241.75 = 1,034.72/x
  3. Step 3: Cross multiply
    1,493.73x = 2,241.75 × 1,034.72
  4. Step 4: Simplify right side
    1,493.73x = 2,319,578.39
  5. Step 5: Solve for x
    x = 2,319,578.39/1,493.73
  6. Step 6: Final answer
    x = 1,552.88

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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.