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Finding the Fourth Proportional to 3,286.41, 4,927.05 and 1,642.11

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Solution

The fourth proportional to 3,286.41, 4,927.05 and 1,642.11 is: 2,461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.41 : 4,927.05 = 1,642.11 : x
  2. Step 2: Convert to fraction form
    3,286.41/4,927.05 = 1,642.11/x
  3. Step 3: Cross multiply
    3,286.41x = 4,927.05 × 1,642.11
  4. Step 4: Simplify right side
    3,286.41x = 8,090,758.08
  5. Step 5: Solve for x
    x = 8,090,758.08/3,286.41
  6. Step 6: Final answer
    x = 2,461.88

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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.