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Finding the Fourth Proportional to 2,882.64, 4,324.42 and 2,059.48

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Solution

The fourth proportional to 2,882.64, 4,324.42 and 2,059.48 is: 3,089.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.64 : 4,324.42 = 2,059.48 : x
  2. Step 2: Convert to fraction form
    2,882.64/4,324.42 = 2,059.48/x
  3. Step 3: Cross multiply
    2,882.64x = 4,324.42 × 2,059.48
  4. Step 4: Simplify right side
    2,882.64x = 8,906,056.50
  5. Step 5: Solve for x
    x = 8,906,056.50/2,882.64
  6. Step 6: Final answer
    x = 3,089.55

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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.