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Finding the Fourth Proportional to 2,724.08, 3,758.63 and 1,728.99

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Solution

The fourth proportional to 2,724.08, 3,758.63 and 1,728.99 is: 2,385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.08 : 3,758.63 = 1,728.99 : x
  2. Step 2: Convert to fraction form
    2,724.08/3,758.63 = 1,728.99/x
  3. Step 3: Cross multiply
    2,724.08x = 3,758.63 × 1,728.99
  4. Step 4: Simplify right side
    2,724.08x = 6,498,625.04
  5. Step 5: Solve for x
    x = 6,498,625.04/2,724.08
  6. Step 6: Final answer
    x = 2,385.63

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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.