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Finding the Fourth Proportional to 2,318.78, 3,477.81 and 1,086.08

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Solution

The fourth proportional to 2,318.78, 3,477.81 and 1,086.08 is: 1,628.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.78 : 3,477.81 = 1,086.08 : x
  2. Step 2: Convert to fraction form
    2,318.78/3,477.81 = 1,086.08/x
  3. Step 3: Cross multiply
    2,318.78x = 3,477.81 × 1,086.08
  4. Step 4: Simplify right side
    2,318.78x = 3,777,179.88
  5. Step 5: Solve for x
    x = 3,777,179.88/2,318.78
  6. Step 6: Final answer
    x = 1,628.95

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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.