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Finding the Fourth Proportional to 2,082.17, 2,874.18 and 1,296.07

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Solution

The fourth proportional to 2,082.17, 2,874.18 and 1,296.07 is: 1,789.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.17 : 2,874.18 = 1,296.07 : x
  2. Step 2: Convert to fraction form
    2,082.17/2,874.18 = 1,296.07/x
  3. Step 3: Cross multiply
    2,082.17x = 2,874.18 × 1,296.07
  4. Step 4: Simplify right side
    2,082.17x = 3,725,136.15
  5. Step 5: Solve for x
    x = 3,725,136.15/2,082.17
  6. Step 6: Final answer
    x = 1,789.06

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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.