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Finding the Fourth Proportional to 2,082.02, 3,122.85 and 695.30

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Solution

The fourth proportional to 2,082.02, 3,122.85 and 695.30 is: 1,042.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.02 : 3,122.85 = 695.30 : x
  2. Step 2: Convert to fraction form
    2,082.02/3,122.85 = 695.30/x
  3. Step 3: Cross multiply
    2,082.02x = 3,122.85 × 695.30
  4. Step 4: Simplify right side
    2,082.02x = 2,171,317.61
  5. Step 5: Solve for x
    x = 2,171,317.61/2,082.02
  6. Step 6: Final answer
    x = 1,042.89

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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.