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Finding the Fourth Proportional to 3,069.52, 4,235.84 and 1,743.12

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Solution

The fourth proportional to 3,069.52, 4,235.84 and 1,743.12 is: 2,405.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.52 : 4,235.84 = 1,743.12 : x
  2. Step 2: Convert to fraction form
    3,069.52/4,235.84 = 1,743.12/x
  3. Step 3: Cross multiply
    3,069.52x = 4,235.84 × 1,743.12
  4. Step 4: Simplify right side
    3,069.52x = 7,383,577.42
  5. Step 5: Solve for x
    x = 7,383,577.42/3,069.52
  6. Step 6: Final answer
    x = 2,405.45

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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.