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Finding the Fourth Proportional to 2,781.02, 3,837.83 and 1,732.88

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Solution

The fourth proportional to 2,781.02, 3,837.83 and 1,732.88 is: 2,391.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.02 : 3,837.83 = 1,732.88 : x
  2. Step 2: Convert to fraction form
    2,781.02/3,837.83 = 1,732.88/x
  3. Step 3: Cross multiply
    2,781.02x = 3,837.83 × 1,732.88
  4. Step 4: Simplify right side
    2,781.02x = 6,650,471.00
  5. Step 5: Solve for x
    x = 6,650,471.00/2,781.02
  6. Step 6: Final answer
    x = 2,391.38

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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.