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Finding the Fourth Proportional to 3,069.28, 4,235.72 and 1,743.11

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Solution

The fourth proportional to 3,069.28, 4,235.72 and 1,743.11 is: 2,405.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.28 : 4,235.72 = 1,743.11 : x
  2. Step 2: Convert to fraction form
    3,069.28/4,235.72 = 1,743.11/x
  3. Step 3: Cross multiply
    3,069.28x = 4,235.72 × 1,743.11
  4. Step 4: Simplify right side
    3,069.28x = 7,383,325.89
  5. Step 5: Solve for x
    x = 7,383,325.89/3,069.28
  6. Step 6: Final answer
    x = 2,405.56

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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.