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Finding the Fourth Proportional to 3,266.34, 4,900.68 and 1,512.18

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Solution

The fourth proportional to 3,266.34, 4,900.68 and 1,512.18 is: 2,268.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.34 : 4,900.68 = 1,512.18 : x
  2. Step 2: Convert to fraction form
    3,266.34/4,900.68 = 1,512.18/x
  3. Step 3: Cross multiply
    3,266.34x = 4,900.68 × 1,512.18
  4. Step 4: Simplify right side
    3,266.34x = 7,410,710.28
  5. Step 5: Solve for x
    x = 7,410,710.28/3,266.34
  6. Step 6: Final answer
    x = 2,268.81

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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.