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Finding the Fourth Proportional to 2,868.68, 3,960.09 and 2,205.30

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Solution

The fourth proportional to 2,868.68, 3,960.09 and 2,205.30 is: 3,044.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.68 : 3,960.09 = 2,205.30 : x
  2. Step 2: Convert to fraction form
    2,868.68/3,960.09 = 2,205.30/x
  3. Step 3: Cross multiply
    2,868.68x = 3,960.09 × 2,205.30
  4. Step 4: Simplify right side
    2,868.68x = 8,733,186.48
  5. Step 5: Solve for x
    x = 8,733,186.48/2,868.68
  6. Step 6: Final answer
    x = 3,044.32

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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.