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Finding the Fourth Proportional to 3,069.80, 4,236.01 and 1,743.24

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Solution

The fourth proportional to 3,069.80, 4,236.01 and 1,743.24 is: 2,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.80 : 4,236.01 = 1,743.24 : x
  2. Step 2: Convert to fraction form
    3,069.80/4,236.01 = 1,743.24/x
  3. Step 3: Cross multiply
    3,069.80x = 4,236.01 × 1,743.24
  4. Step 4: Simplify right side
    3,069.80x = 7,384,377.71
  5. Step 5: Solve for x
    x = 7,384,377.71/3,069.80
  6. Step 6: Final answer
    x = 2,405.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.