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Finding the Fourth Proportional to 3,083.84, 4,255.52 and 1,757.54

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Solution

The fourth proportional to 3,083.84, 4,255.52 and 1,757.54 is: 2,425.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.84 : 4,255.52 = 1,757.54 : x
  2. Step 2: Convert to fraction form
    3,083.84/4,255.52 = 1,757.54/x
  3. Step 3: Cross multiply
    3,083.84x = 4,255.52 × 1,757.54
  4. Step 4: Simplify right side
    3,083.84x = 7,479,246.62
  5. Step 5: Solve for x
    x = 7,479,246.62/3,083.84
  6. Step 6: Final answer
    x = 2,425.30

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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.