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Finding the Fourth Proportional to 3,431.77, 5,150.55 and 1,353.22

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Solution

The fourth proportional to 3,431.77, 5,150.55 and 1,353.22 is: 2,030.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.77 : 5,150.55 = 1,353.22 : x
  2. Step 2: Convert to fraction form
    3,431.77/5,150.55 = 1,353.22/x
  3. Step 3: Cross multiply
    3,431.77x = 5,150.55 × 1,353.22
  4. Step 4: Simplify right side
    3,431.77x = 6,969,827.27
  5. Step 5: Solve for x
    x = 6,969,827.27/3,431.77
  6. Step 6: Final answer
    x = 2,030.97

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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.