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Finding the Fourth Proportional to 2,780.82, 3,827.79 and 2,518.38

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Solution

The fourth proportional to 2,780.82, 3,827.79 and 2,518.38 is: 3,466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.82 : 3,827.79 = 2,518.38 : x
  2. Step 2: Convert to fraction form
    2,780.82/3,827.79 = 2,518.38/x
  3. Step 3: Cross multiply
    2,780.82x = 3,827.79 × 2,518.38
  4. Step 4: Simplify right side
    2,780.82x = 9,639,829.78
  5. Step 5: Solve for x
    x = 9,639,829.78/2,780.82
  6. Step 6: Final answer
    x = 3,466.54

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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.