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Finding the Fourth Proportional to 2,780.98, 3,832.45 and 1,993.66

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Solution

The fourth proportional to 2,780.98, 3,832.45 and 1,993.66 is: 2,747.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.98 : 3,832.45 = 1,993.66 : x
  2. Step 2: Convert to fraction form
    2,780.98/3,832.45 = 1,993.66/x
  3. Step 3: Cross multiply
    2,780.98x = 3,832.45 × 1,993.66
  4. Step 4: Simplify right side
    2,780.98x = 7,640,602.27
  5. Step 5: Solve for x
    x = 7,640,602.27/2,780.98
  6. Step 6: Final answer
    x = 2,747.45

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