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Finding the Fourth Proportional to 1,992.47, 2,754.42 and 1,826.42

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Solution

The fourth proportional to 1,992.47, 2,754.42 and 1,826.42 is: 2,524.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.47 : 2,754.42 = 1,826.42 : x
  2. Step 2: Convert to fraction form
    1,992.47/2,754.42 = 1,826.42/x
  3. Step 3: Cross multiply
    1,992.47x = 2,754.42 × 1,826.42
  4. Step 4: Simplify right side
    1,992.47x = 5,030,727.78
  5. Step 5: Solve for x
    x = 5,030,727.78/1,992.47
  6. Step 6: Final answer
    x = 2,524.87

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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.