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Finding the Fourth Proportional to 2,653.77, 3,977.39 and 1,092.80

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Solution

The fourth proportional to 2,653.77, 3,977.39 and 1,092.80 is: 1,637.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.77 : 3,977.39 = 1,092.80 : x
  2. Step 2: Convert to fraction form
    2,653.77/3,977.39 = 1,092.80/x
  3. Step 3: Cross multiply
    2,653.77x = 3,977.39 × 1,092.80
  4. Step 4: Simplify right side
    2,653.77x = 4,346,496.27
  5. Step 5: Solve for x
    x = 4,346,496.27/2,653.77
  6. Step 6: Final answer
    x = 1,637.86

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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.