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Finding the Fourth Proportional to 2,606.88, 3,589.38 and 2,462.52

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Solution

The fourth proportional to 2,606.88, 3,589.38 and 2,462.52 is: 3,390.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.88 : 3,589.38 = 2,462.52 : x
  2. Step 2: Convert to fraction form
    2,606.88/3,589.38 = 2,462.52/x
  3. Step 3: Cross multiply
    2,606.88x = 3,589.38 × 2,462.52
  4. Step 4: Simplify right side
    2,606.88x = 8,838,920.04
  5. Step 5: Solve for x
    x = 8,838,920.04/2,606.88
  6. Step 6: Final answer
    x = 3,390.61

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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.