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Finding the Fourth Proportional to 2,045.32, 3,082.17 and 1,850.92

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Solution

The fourth proportional to 2,045.32, 3,082.17 and 1,850.92 is: 2,789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.32 : 3,082.17 = 1,850.92 : x
  2. Step 2: Convert to fraction form
    2,045.32/3,082.17 = 1,850.92/x
  3. Step 3: Cross multiply
    2,045.32x = 3,082.17 × 1,850.92
  4. Step 4: Simplify right side
    2,045.32x = 5,704,838.92
  5. Step 5: Solve for x
    x = 5,704,838.92/2,045.32
  6. Step 6: Final answer
    x = 2,789.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.