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Finding the Fourth Proportional to 2,529.75, 3,794.63 and 885.92

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Solution

The fourth proportional to 2,529.75, 3,794.63 and 885.92 is: 1,328.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.75 : 3,794.63 = 885.92 : x
  2. Step 2: Convert to fraction form
    2,529.75/3,794.63 = 885.92/x
  3. Step 3: Cross multiply
    2,529.75x = 3,794.63 × 885.92
  4. Step 4: Simplify right side
    2,529.75x = 3,361,743.67
  5. Step 5: Solve for x
    x = 3,361,743.67/2,529.75
  6. Step 6: Final answer
    x = 1,328.88

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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.