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Finding the Fourth Proportional to 3,081.73, 4,252.12 and 1,822.86

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Solution

The fourth proportional to 3,081.73, 4,252.12 and 1,822.86 is: 2,515.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.73 : 4,252.12 = 1,822.86 : x
  2. Step 2: Convert to fraction form
    3,081.73/4,252.12 = 1,822.86/x
  3. Step 3: Cross multiply
    3,081.73x = 4,252.12 × 1,822.86
  4. Step 4: Simplify right side
    3,081.73x = 7,751,019.46
  5. Step 5: Solve for x
    x = 7,751,019.46/3,081.73
  6. Step 6: Final answer
    x = 2,515.15

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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.