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Finding the Fourth Proportional to 2,348.74, 3,233.88 and 1,993.92

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Solution

The fourth proportional to 2,348.74, 3,233.88 and 1,993.92 is: 2,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.74 : 3,233.88 = 1,993.92 : x
  2. Step 2: Convert to fraction form
    2,348.74/3,233.88 = 1,993.92/x
  3. Step 3: Cross multiply
    2,348.74x = 3,233.88 × 1,993.92
  4. Step 4: Simplify right side
    2,348.74x = 6,448,101.27
  5. Step 5: Solve for x
    x = 6,448,101.27/2,348.74
  6. Step 6: Final answer
    x = 2,745.35

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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.