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Finding the Fourth Proportional to 3,177.81, 4,765.17 and 2,135.22

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Solution

The fourth proportional to 3,177.81, 4,765.17 and 2,135.22 is: 3,201.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.81 : 4,765.17 = 2,135.22 : x
  2. Step 2: Convert to fraction form
    3,177.81/4,765.17 = 2,135.22/x
  3. Step 3: Cross multiply
    3,177.81x = 4,765.17 × 2,135.22
  4. Step 4: Simplify right side
    3,177.81x = 10,174,686.29
  5. Step 5: Solve for x
    x = 10,174,686.29/3,177.81
  6. Step 6: Final answer
    x = 3,201.79

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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.