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Finding the Fourth Proportional to 2,726.96, 4,092.12 and 1,188.08

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Solution

The fourth proportional to 2,726.96, 4,092.12 and 1,188.08 is: 1,782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.96 : 4,092.12 = 1,188.08 : x
  2. Step 2: Convert to fraction form
    2,726.96/4,092.12 = 1,188.08/x
  3. Step 3: Cross multiply
    2,726.96x = 4,092.12 × 1,188.08
  4. Step 4: Simplify right side
    2,726.96x = 4,861,765.93
  5. Step 5: Solve for x
    x = 4,861,765.93/2,726.96
  6. Step 6: Final answer
    x = 1,782.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.