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Finding the Fourth Proportional to 2,092.41, 3,139.80 and 1,927.17

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Solution

The fourth proportional to 2,092.41, 3,139.80 and 1,927.17 is: 2,891.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.41 : 3,139.80 = 1,927.17 : x
  2. Step 2: Convert to fraction form
    2,092.41/3,139.80 = 1,927.17/x
  3. Step 3: Cross multiply
    2,092.41x = 3,139.80 × 1,927.17
  4. Step 4: Simplify right side
    2,092.41x = 6,050,928.37
  5. Step 5: Solve for x
    x = 6,050,928.37/2,092.41
  6. Step 6: Final answer
    x = 2,891.85

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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.