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Finding the Fourth Proportional to 2,772.86, 3,827.20 and 1,594.61

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Solution

The fourth proportional to 2,772.86, 3,827.20 and 1,594.61 is: 2,200.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.86 : 3,827.20 = 1,594.61 : x
  2. Step 2: Convert to fraction form
    2,772.86/3,827.20 = 1,594.61/x
  3. Step 3: Cross multiply
    2,772.86x = 3,827.20 × 1,594.61
  4. Step 4: Simplify right side
    2,772.86x = 6,102,891.39
  5. Step 5: Solve for x
    x = 6,102,891.39/2,772.86
  6. Step 6: Final answer
    x = 2,200.94

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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.