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Finding the Fourth Proportional to 2,498.03, 3,743.97 and 852.65

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Solution

The fourth proportional to 2,498.03, 3,743.97 and 852.65 is: 1,277.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.03 : 3,743.97 = 852.65 : x
  2. Step 2: Convert to fraction form
    2,498.03/3,743.97 = 852.65/x
  3. Step 3: Cross multiply
    2,498.03x = 3,743.97 × 852.65
  4. Step 4: Simplify right side
    2,498.03x = 3,192,305.38
  5. Step 5: Solve for x
    x = 3,192,305.38/2,498.03
  6. Step 6: Final answer
    x = 1,277.93

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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.