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Finding the Fourth Proportional to 3,178.70, 4,765.14 and 1,232.36

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Solution

The fourth proportional to 3,178.70, 4,765.14 and 1,232.36 is: 1,847.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.70 : 4,765.14 = 1,232.36 : x
  2. Step 2: Convert to fraction form
    3,178.70/4,765.14 = 1,232.36/x
  3. Step 3: Cross multiply
    3,178.70x = 4,765.14 × 1,232.36
  4. Step 4: Simplify right side
    3,178.70x = 5,872,367.93
  5. Step 5: Solve for x
    x = 5,872,367.93/3,178.70
  6. Step 6: Final answer
    x = 1,847.41

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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.