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Finding the Fourth Proportional to 3,200.59, 4,799.52 and 1,119.98

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Solution

The fourth proportional to 3,200.59, 4,799.52 and 1,119.98 is: 1,679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.59 : 4,799.52 = 1,119.98 : x
  2. Step 2: Convert to fraction form
    3,200.59/4,799.52 = 1,119.98/x
  3. Step 3: Cross multiply
    3,200.59x = 4,799.52 × 1,119.98
  4. Step 4: Simplify right side
    3,200.59x = 5,375,366.41
  5. Step 5: Solve for x
    x = 5,375,366.41/3,200.59
  6. Step 6: Final answer
    x = 1,679.49

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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.