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Finding the Fourth Proportional to 3,144.69, 4,339.34 and 1,818.82

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Solution

The fourth proportional to 3,144.69, 4,339.34 and 1,818.82 is: 2,509.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.69 : 4,339.34 = 1,818.82 : x
  2. Step 2: Convert to fraction form
    3,144.69/4,339.34 = 1,818.82/x
  3. Step 3: Cross multiply
    3,144.69x = 4,339.34 × 1,818.82
  4. Step 4: Simplify right side
    3,144.69x = 7,892,478.38
  5. Step 5: Solve for x
    x = 7,892,478.38/3,144.69
  6. Step 6: Final answer
    x = 2,509.78

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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.