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Finding the Fourth Proportional to 2,578.86, 3,866.75 and 934.85

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Solution

The fourth proportional to 2,578.86, 3,866.75 and 934.85 is: 1,401.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.86 : 3,866.75 = 934.85 : x
  2. Step 2: Convert to fraction form
    2,578.86/3,866.75 = 934.85/x
  3. Step 3: Cross multiply
    2,578.86x = 3,866.75 × 934.85
  4. Step 4: Simplify right side
    2,578.86x = 3,614,807.23
  5. Step 5: Solve for x
    x = 3,614,807.23/2,578.86
  6. Step 6: Final answer
    x = 1,401.71

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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.