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Finding the Fourth Proportional to 2,082.01, 3,125.76 and 1,910.09

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Solution

The fourth proportional to 2,082.01, 3,125.76 and 1,910.09 is: 2,867.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.01 : 3,125.76 = 1,910.09 : x
  2. Step 2: Convert to fraction form
    2,082.01/3,125.76 = 1,910.09/x
  3. Step 3: Cross multiply
    2,082.01x = 3,125.76 × 1,910.09
  4. Step 4: Simplify right side
    2,082.01x = 5,970,482.92
  5. Step 5: Solve for x
    x = 5,970,482.92/2,082.01
  6. Step 6: Final answer
    x = 2,867.65

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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.