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Finding the Fourth Proportional to 2,599.28, 3,889.80 and 2,238.42

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Solution

The fourth proportional to 2,599.28, 3,889.80 and 2,238.42 is: 3,349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.28 : 3,889.80 = 2,238.42 : x
  2. Step 2: Convert to fraction form
    2,599.28/3,889.80 = 2,238.42/x
  3. Step 3: Cross multiply
    2,599.28x = 3,889.80 × 2,238.42
  4. Step 4: Simplify right side
    2,599.28x = 8,707,006.12
  5. Step 5: Solve for x
    x = 8,707,006.12/2,599.28
  6. Step 6: Final answer
    x = 3,349.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.