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Finding the Fourth Proportional to 4,155.65, 6,231.61 and 1,193.42

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Solution

The fourth proportional to 4,155.65, 6,231.61 and 1,193.42 is: 1,789.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.65 : 6,231.61 = 1,193.42 : x
  2. Step 2: Convert to fraction form
    4,155.65/6,231.61 = 1,193.42/x
  3. Step 3: Cross multiply
    4,155.65x = 6,231.61 × 1,193.42
  4. Step 4: Simplify right side
    4,155.65x = 7,436,928.01
  5. Step 5: Solve for x
    x = 7,436,928.01/4,155.65
  6. Step 6: Final answer
    x = 1,789.59

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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.