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Finding the Fourth Proportional to 2,773.76, 3,827.76 and 1,594.80

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Solution

The fourth proportional to 2,773.76, 3,827.76 and 1,594.80 is: 2,200.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.76 : 3,827.76 = 1,594.80 : x
  2. Step 2: Convert to fraction form
    2,773.76/3,827.76 = 1,594.80/x
  3. Step 3: Cross multiply
    2,773.76x = 3,827.76 × 1,594.80
  4. Step 4: Simplify right side
    2,773.76x = 6,104,511.65
  5. Step 5: Solve for x
    x = 6,104,511.65/2,773.76
  6. Step 6: Final answer
    x = 2,200.81

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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.