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Finding the Fourth Proportional to 2,486.41, 3,727.74 and 2,143.78

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Solution

The fourth proportional to 2,486.41, 3,727.74 and 2,143.78 is: 3,214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.41 : 3,727.74 = 2,143.78 : x
  2. Step 2: Convert to fraction form
    2,486.41/3,727.74 = 2,143.78/x
  3. Step 3: Cross multiply
    2,486.41x = 3,727.74 × 2,143.78
  4. Step 4: Simplify right side
    2,486.41x = 7,991,454.46
  5. Step 5: Solve for x
    x = 7,991,454.46/2,486.41
  6. Step 6: Final answer
    x = 3,214.05

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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.