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Finding the Fourth Proportional to 2,485.62, 3,728.84 and 842.27

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Solution

The fourth proportional to 2,485.62, 3,728.84 and 842.27 is: 1,263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.62 : 3,728.84 = 842.27 : x
  2. Step 2: Convert to fraction form
    2,485.62/3,728.84 = 842.27/x
  3. Step 3: Cross multiply
    2,485.62x = 3,728.84 × 842.27
  4. Step 4: Simplify right side
    2,485.62x = 3,140,667.21
  5. Step 5: Solve for x
    x = 3,140,667.21/2,485.62
  6. Step 6: Final answer
    x = 1,263.53

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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.