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Finding the Fourth Proportional to 2,262.57, 3,136.80 and 2,182.38

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Solution

The fourth proportional to 2,262.57, 3,136.80 and 2,182.38 is: 3,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.57 : 3,136.80 = 2,182.38 : x
  2. Step 2: Convert to fraction form
    2,262.57/3,136.80 = 2,182.38/x
  3. Step 3: Cross multiply
    2,262.57x = 3,136.80 × 2,182.38
  4. Step 4: Simplify right side
    2,262.57x = 6,845,689.58
  5. Step 5: Solve for x
    x = 6,845,689.58/2,262.57
  6. Step 6: Final answer
    x = 3,025.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.