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Finding the Fourth Proportional to 2,229.79, 3,078.27 and 2,082.55

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Solution

The fourth proportional to 2,229.79, 3,078.27 and 2,082.55 is: 2,875.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.79 : 3,078.27 = 2,082.55 : x
  2. Step 2: Convert to fraction form
    2,229.79/3,078.27 = 2,082.55/x
  3. Step 3: Cross multiply
    2,229.79x = 3,078.27 × 2,082.55
  4. Step 4: Simplify right side
    2,229.79x = 6,410,625.38
  5. Step 5: Solve for x
    x = 6,410,625.38/2,229.79
  6. Step 6: Final answer
    x = 2,875.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.