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Finding the Fourth Proportional to 2,689.86, 4,034.22 and 1,578.54

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Solution

The fourth proportional to 2,689.86, 4,034.22 and 1,578.54 is: 2,367.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.86 : 4,034.22 = 1,578.54 : x
  2. Step 2: Convert to fraction form
    2,689.86/4,034.22 = 1,578.54/x
  3. Step 3: Cross multiply
    2,689.86x = 4,034.22 × 1,578.54
  4. Step 4: Simplify right side
    2,689.86x = 6,368,177.64
  5. Step 5: Solve for x
    x = 6,368,177.64/2,689.86
  6. Step 6: Final answer
    x = 2,367.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.