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Finding the Fourth Proportional to 2,486.82, 3,728.78 and 842.93

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Solution

The fourth proportional to 2,486.82, 3,728.78 and 842.93 is: 1,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.82 : 3,728.78 = 842.93 : x
  2. Step 2: Convert to fraction form
    2,486.82/3,728.78 = 842.93/x
  3. Step 3: Cross multiply
    2,486.82x = 3,728.78 × 842.93
  4. Step 4: Simplify right side
    2,486.82x = 3,143,100.53
  5. Step 5: Solve for x
    x = 3,143,100.53/2,486.82
  6. Step 6: Final answer
    x = 1,263.90

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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.