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Finding the Fourth Proportional to 2,082.18, 3,122.96 and 695.52

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Solution

The fourth proportional to 2,082.18, 3,122.96 and 695.52 is: 1,043.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.18 : 3,122.96 = 695.52 : x
  2. Step 2: Convert to fraction form
    2,082.18/3,122.96 = 695.52/x
  3. Step 3: Cross multiply
    2,082.18x = 3,122.96 × 695.52
  4. Step 4: Simplify right side
    2,082.18x = 2,172,081.14
  5. Step 5: Solve for x
    x = 2,172,081.14/2,082.18
  6. Step 6: Final answer
    x = 1,043.18

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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.