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Finding the Fourth Proportional to 2,857.52, 3,943.67 and 1,738.53

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Solution

The fourth proportional to 2,857.52, 3,943.67 and 1,738.53 is: 2,399.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.52 : 3,943.67 = 1,738.53 : x
  2. Step 2: Convert to fraction form
    2,857.52/3,943.67 = 1,738.53/x
  3. Step 3: Cross multiply
    2,857.52x = 3,943.67 × 1,738.53
  4. Step 4: Simplify right side
    2,857.52x = 6,856,188.61
  5. Step 5: Solve for x
    x = 6,856,188.61/2,857.52
  6. Step 6: Final answer
    x = 2,399.35

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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.