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Finding the Fourth Proportional to 2,288, 3,158.52 and 2,205.92

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Solution

The fourth proportional to 2,288, 3,158.52 and 2,205.92 is: 3,045.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288 : 3,158.52 = 2,205.92 : x
  2. Step 2: Convert to fraction form
    2,288/3,158.52 = 2,205.92/x
  3. Step 3: Cross multiply
    2,288x = 3,158.52 × 2,205.92
  4. Step 4: Simplify right side
    2,288x = 6,967,442.44
  5. Step 5: Solve for x
    x = 6,967,442.44/2,288
  6. Step 6: Final answer
    x = 3,045.21

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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.