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Finding the Fourth Proportional to 2,781.73, 3,837.11 and 1,837.52

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Solution

The fourth proportional to 2,781.73, 3,837.11 and 1,837.52 is: 2,534.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.73 : 3,837.11 = 1,837.52 : x
  2. Step 2: Convert to fraction form
    2,781.73/3,837.11 = 1,837.52/x
  3. Step 3: Cross multiply
    2,781.73x = 3,837.11 × 1,837.52
  4. Step 4: Simplify right side
    2,781.73x = 7,050,780.55
  5. Step 5: Solve for x
    x = 7,050,780.55/2,781.73
  6. Step 6: Final answer
    x = 2,534.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.