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Finding the Fourth Proportional to 2,082.08, 2,872.98 and 2,026.08

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Solution

The fourth proportional to 2,082.08, 2,872.98 and 2,026.08 is: 2,795.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.08 : 2,872.98 = 2,026.08 : x
  2. Step 2: Convert to fraction form
    2,082.08/2,872.98 = 2,026.08/x
  3. Step 3: Cross multiply
    2,082.08x = 2,872.98 × 2,026.08
  4. Step 4: Simplify right side
    2,082.08x = 5,820,887.32
  5. Step 5: Solve for x
    x = 5,820,887.32/2,082.08
  6. Step 6: Final answer
    x = 2,795.71

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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.