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Finding the Fourth Proportional to 2,824.58, 4,238.03 and 1,728.98

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Solution

The fourth proportional to 2,824.58, 4,238.03 and 1,728.98 is: 2,594.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.58 : 4,238.03 = 1,728.98 : x
  2. Step 2: Convert to fraction form
    2,824.58/4,238.03 = 1,728.98/x
  3. Step 3: Cross multiply
    2,824.58x = 4,238.03 × 1,728.98
  4. Step 4: Simplify right side
    2,824.58x = 7,327,469.11
  5. Step 5: Solve for x
    x = 7,327,469.11/2,824.58
  6. Step 6: Final answer
    x = 2,594.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.