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Finding the Fourth Proportional to 2,712.82, 3,745.48 and 1,757.53

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Solution

The fourth proportional to 2,712.82, 3,745.48 and 1,757.53 is: 2,426.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.82 : 3,745.48 = 1,757.53 : x
  2. Step 2: Convert to fraction form
    2,712.82/3,745.48 = 1,757.53/x
  3. Step 3: Cross multiply
    2,712.82x = 3,745.48 × 1,757.53
  4. Step 4: Simplify right side
    2,712.82x = 6,582,793.46
  5. Step 5: Solve for x
    x = 6,582,793.46/2,712.82
  6. Step 6: Final answer
    x = 2,426.55

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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.