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Finding the Fourth Proportional to 2,770.38, 3,823.53 and 1,826.02

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Solution

The fourth proportional to 2,770.38, 3,823.53 and 1,826.02 is: 2,520.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.38 : 3,823.53 = 1,826.02 : x
  2. Step 2: Convert to fraction form
    2,770.38/3,823.53 = 1,826.02/x
  3. Step 3: Cross multiply
    2,770.38x = 3,823.53 × 1,826.02
  4. Step 4: Simplify right side
    2,770.38x = 6,981,842.25
  5. Step 5: Solve for x
    x = 6,981,842.25/2,770.38
  6. Step 6: Final answer
    x = 2,520.17

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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.