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Finding the Fourth Proportional to 2,740.96, 3,800.82 and 2,648.60

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Solution

The fourth proportional to 2,740.96, 3,800.82 and 2,648.60 is: 3,672.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.96 : 3,800.82 = 2,648.60 : x
  2. Step 2: Convert to fraction form
    2,740.96/3,800.82 = 2,648.60/x
  3. Step 3: Cross multiply
    2,740.96x = 3,800.82 × 2,648.60
  4. Step 4: Simplify right side
    2,740.96x = 10,066,851.85
  5. Step 5: Solve for x
    x = 10,066,851.85/2,740.96
  6. Step 6: Final answer
    x = 3,672.75

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.