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Finding the Fourth Proportional to 2,743.61, 3,785.00 and 2,213.26

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Solution

The fourth proportional to 2,743.61, 3,785.00 and 2,213.26 is: 3,053.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.61 : 3,785.00 = 2,213.26 : x
  2. Step 2: Convert to fraction form
    2,743.61/3,785.00 = 2,213.26/x
  3. Step 3: Cross multiply
    2,743.61x = 3,785.00 × 2,213.26
  4. Step 4: Simplify right side
    2,743.61x = 8,377,168.57
  5. Step 5: Solve for x
    x = 8,377,168.57/2,743.61
  6. Step 6: Final answer
    x = 3,053.34

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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.