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Finding the Fourth Proportional to 2,651.69, 3,976.87 and 1,092.13

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Solution

The fourth proportional to 2,651.69, 3,976.87 and 1,092.13 is: 1,637.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.69 : 3,976.87 = 1,092.13 : x
  2. Step 2: Convert to fraction form
    2,651.69/3,976.87 = 1,092.13/x
  3. Step 3: Cross multiply
    2,651.69x = 3,976.87 × 1,092.13
  4. Step 4: Simplify right side
    2,651.69x = 4,343,259.03
  5. Step 5: Solve for x
    x = 4,343,259.03/2,651.69
  6. Step 6: Final answer
    x = 1,637.92

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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.