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Finding the Fourth Proportional to 3,193.65, 4,792.35 and 1,438.75

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Solution

The fourth proportional to 3,193.65, 4,792.35 and 1,438.75 is: 2,158.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.65 : 4,792.35 = 1,438.75 : x
  2. Step 2: Convert to fraction form
    3,193.65/4,792.35 = 1,438.75/x
  3. Step 3: Cross multiply
    3,193.65x = 4,792.35 × 1,438.75
  4. Step 4: Simplify right side
    3,193.65x = 6,894,993.56
  5. Step 5: Solve for x
    x = 6,894,993.56/3,193.65
  6. Step 6: Final answer
    x = 2,158.97

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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.