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Finding the Fourth Proportional to 3,266.30, 4,900.82 and 1,318.02

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Solution

The fourth proportional to 3,266.30, 4,900.82 and 1,318.02 is: 1,977.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.30 : 4,900.82 = 1,318.02 : x
  2. Step 2: Convert to fraction form
    3,266.30/4,900.82 = 1,318.02/x
  3. Step 3: Cross multiply
    3,266.30x = 4,900.82 × 1,318.02
  4. Step 4: Simplify right side
    3,266.30x = 6,459,372.19
  5. Step 5: Solve for x
    x = 6,459,372.19/3,266.30
  6. Step 6: Final answer
    x = 1,977.58

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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.