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Finding the Fourth Proportional to 2,082.72, 3,121.35 and 849.45

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Solution

The fourth proportional to 2,082.72, 3,121.35 and 849.45 is: 1,273.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.72 : 3,121.35 = 849.45 : x
  2. Step 2: Convert to fraction form
    2,082.72/3,121.35 = 849.45/x
  3. Step 3: Cross multiply
    2,082.72x = 3,121.35 × 849.45
  4. Step 4: Simplify right side
    2,082.72x = 2,651,430.76
  5. Step 5: Solve for x
    x = 2,651,430.76/2,082.72
  6. Step 6: Final answer
    x = 1,273.06

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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.