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Finding the Fourth Proportional to 2,713.50, 3,747.47 and 2,013.66

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Solution

The fourth proportional to 2,713.50, 3,747.47 and 2,013.66 is: 2,780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.50 : 3,747.47 = 2,013.66 : x
  2. Step 2: Convert to fraction form
    2,713.50/3,747.47 = 2,013.66/x
  3. Step 3: Cross multiply
    2,713.50x = 3,747.47 × 2,013.66
  4. Step 4: Simplify right side
    2,713.50x = 7,546,120.37
  5. Step 5: Solve for x
    x = 7,546,120.37/2,713.50
  6. Step 6: Final answer
    x = 2,780.95

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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.