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Finding the Fourth Proportional to 3,144.96, 4,339.16 and 2,026.29

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Solution

The fourth proportional to 3,144.96, 4,339.16 and 2,026.29 is: 2,795.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.96 : 4,339.16 = 2,026.29 : x
  2. Step 2: Convert to fraction form
    3,144.96/4,339.16 = 2,026.29/x
  3. Step 3: Cross multiply
    3,144.96x = 4,339.16 × 2,026.29
  4. Step 4: Simplify right side
    3,144.96x = 8,792,386.38
  5. Step 5: Solve for x
    x = 8,792,386.38/3,144.96
  6. Step 6: Final answer
    x = 2,795.71

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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.