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Finding the Fourth Proportional to 3,266.70, 4,899.97 and 1,318.38

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Solution

The fourth proportional to 3,266.70, 4,899.97 and 1,318.38 is: 1,977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.70 : 4,899.97 = 1,318.38 : x
  2. Step 2: Convert to fraction form
    3,266.70/4,899.97 = 1,318.38/x
  3. Step 3: Cross multiply
    3,266.70x = 4,899.97 × 1,318.38
  4. Step 4: Simplify right side
    3,266.70x = 6,460,022.45
  5. Step 5: Solve for x
    x = 6,460,022.45/3,266.70
  6. Step 6: Final answer
    x = 1,977.54

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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.