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Finding the Fourth Proportional to 2,081.82, 3,122.87 and 695.10

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Solution

The fourth proportional to 2,081.82, 3,122.87 and 695.10 is: 1,042.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.82 : 3,122.87 = 695.10 : x
  2. Step 2: Convert to fraction form
    2,081.82/3,122.87 = 695.10/x
  3. Step 3: Cross multiply
    2,081.82x = 3,122.87 × 695.10
  4. Step 4: Simplify right side
    2,081.82x = 2,170,703.46
  5. Step 5: Solve for x
    x = 2,170,703.46/2,081.82
  6. Step 6: Final answer
    x = 1,042.70

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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.