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Finding the Fourth Proportional to 2,781.72, 3,837.38 and 1,733.04

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Solution

The fourth proportional to 2,781.72, 3,837.38 and 1,733.04 is: 2,390.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.72 : 3,837.38 = 1,733.04 : x
  2. Step 2: Convert to fraction form
    2,781.72/3,837.38 = 1,733.04/x
  3. Step 3: Cross multiply
    2,781.72x = 3,837.38 × 1,733.04
  4. Step 4: Simplify right side
    2,781.72x = 6,650,324.37
  5. Step 5: Solve for x
    x = 6,650,324.37/2,781.72
  6. Step 6: Final answer
    x = 2,390.72

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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.