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Finding the Fourth Proportional to 3,199.75, 4,800.22 and 1,119.71

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Solution

The fourth proportional to 3,199.75, 4,800.22 and 1,119.71 is: 1,679.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.75 : 4,800.22 = 1,119.71 : x
  2. Step 2: Convert to fraction form
    3,199.75/4,800.22 = 1,119.71/x
  3. Step 3: Cross multiply
    3,199.75x = 4,800.22 × 1,119.71
  4. Step 4: Simplify right side
    3,199.75x = 5,374,854.34
  5. Step 5: Solve for x
    x = 5,374,854.34/3,199.75
  6. Step 6: Final answer
    x = 1,679.77

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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.