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Finding the Fourth Proportional to 3,428.81, 5,150.14 and 2,044.86

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Solution

The fourth proportional to 3,428.81, 5,150.14 and 2,044.86 is: 3,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.81 : 5,150.14 = 2,044.86 : x
  2. Step 2: Convert to fraction form
    3,428.81/5,150.14 = 2,044.86/x
  3. Step 3: Cross multiply
    3,428.81x = 5,150.14 × 2,044.86
  4. Step 4: Simplify right side
    3,428.81x = 10,531,290.86
  5. Step 5: Solve for x
    x = 10,531,290.86/3,428.81
  6. Step 6: Final answer
    x = 3,071.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.