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Finding the Fourth Proportional to 3,311.69, 4,968.27 and 1,120.37

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Solution

The fourth proportional to 3,311.69, 4,968.27 and 1,120.37 is: 1,680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.69 : 4,968.27 = 1,120.37 : x
  2. Step 2: Convert to fraction form
    3,311.69/4,968.27 = 1,120.37/x
  3. Step 3: Cross multiply
    3,311.69x = 4,968.27 × 1,120.37
  4. Step 4: Simplify right side
    3,311.69x = 5,566,275.82
  5. Step 5: Solve for x
    x = 5,566,275.82/3,311.69
  6. Step 6: Final answer
    x = 1,680.80

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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.