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Finding the Fourth Proportional to 3,101.81, 4,280.90 and 2,354.49

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Solution

The fourth proportional to 3,101.81, 4,280.90 and 2,354.49 is: 3,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.81 : 4,280.90 = 2,354.49 : x
  2. Step 2: Convert to fraction form
    3,101.81/4,280.90 = 2,354.49/x
  3. Step 3: Cross multiply
    3,101.81x = 4,280.90 × 2,354.49
  4. Step 4: Simplify right side
    3,101.81x = 10,079,324.47
  5. Step 5: Solve for x
    x = 10,079,324.47/3,101.81
  6. Step 6: Final answer
    x = 3,249.50

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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.