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Finding the Fourth Proportional to 3,200.69, 4,803.19 and 1,120.70

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Solution

The fourth proportional to 3,200.69, 4,803.19 and 1,120.70 is: 1,681.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.69 : 4,803.19 = 1,120.70 : x
  2. Step 2: Convert to fraction form
    3,200.69/4,803.19 = 1,120.70/x
  3. Step 3: Cross multiply
    3,200.69x = 4,803.19 × 1,120.70
  4. Step 4: Simplify right side
    3,200.69x = 5,382,944.24
  5. Step 5: Solve for x
    x = 5,382,944.24/3,200.69
  6. Step 6: Final answer
    x = 1,681.81

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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.