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Finding the Fourth Proportional to 2,675.78, 3,684.85 and 2,176.82

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Solution

The fourth proportional to 2,675.78, 3,684.85 and 2,176.82 is: 2,997.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.78 : 3,684.85 = 2,176.82 : x
  2. Step 2: Convert to fraction form
    2,675.78/3,684.85 = 2,176.82/x
  3. Step 3: Cross multiply
    2,675.78x = 3,684.85 × 2,176.82
  4. Step 4: Simplify right side
    2,675.78x = 8,021,255.18
  5. Step 5: Solve for x
    x = 8,021,255.18/2,675.78
  6. Step 6: Final answer
    x = 2,997.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.