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Finding the Fourth Proportional to 2,729.22, 3,768.03 and 1,681.62

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Solution

The fourth proportional to 2,729.22, 3,768.03 and 1,681.62 is: 2,321.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.22 : 3,768.03 = 1,681.62 : x
  2. Step 2: Convert to fraction form
    2,729.22/3,768.03 = 1,681.62/x
  3. Step 3: Cross multiply
    2,729.22x = 3,768.03 × 1,681.62
  4. Step 4: Simplify right side
    2,729.22x = 6,336,394.61
  5. Step 5: Solve for x
    x = 6,336,394.61/2,729.22
  6. Step 6: Final answer
    x = 2,321.69

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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.