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Finding the Fourth Proportional to 2,497.83, 3,744.92 and 1,034.97

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Solution

The fourth proportional to 2,497.83, 3,744.92 and 1,034.97 is: 1,551.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.83 : 3,744.92 = 1,034.97 : x
  2. Step 2: Convert to fraction form
    2,497.83/3,744.92 = 1,034.97/x
  3. Step 3: Cross multiply
    2,497.83x = 3,744.92 × 1,034.97
  4. Step 4: Simplify right side
    2,497.83x = 3,875,855.95
  5. Step 5: Solve for x
    x = 3,875,855.95/2,497.83
  6. Step 6: Final answer
    x = 1,551.69

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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.