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Finding the Fourth Proportional to 2,773.46, 3,827.97 and 1,827.65

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Solution

The fourth proportional to 2,773.46, 3,827.97 and 1,827.65 is: 2,522.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.46 : 3,827.97 = 1,827.65 : x
  2. Step 2: Convert to fraction form
    2,773.46/3,827.97 = 1,827.65/x
  3. Step 3: Cross multiply
    2,773.46x = 3,827.97 × 1,827.65
  4. Step 4: Simplify right side
    2,773.46x = 6,996,170.23
  5. Step 5: Solve for x
    x = 6,996,170.23/2,773.46
  6. Step 6: Final answer
    x = 2,522.55

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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.