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Finding the Fourth Proportional to 3,266.90, 4,900.34 and 1,319.08

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Solution

The fourth proportional to 3,266.90, 4,900.34 and 1,319.08 is: 1,978.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.90 : 4,900.34 = 1,319.08 : x
  2. Step 2: Convert to fraction form
    3,266.90/4,900.34 = 1,319.08/x
  3. Step 3: Cross multiply
    3,266.90x = 4,900.34 × 1,319.08
  4. Step 4: Simplify right side
    3,266.90x = 6,463,940.49
  5. Step 5: Solve for x
    x = 6,463,940.49/3,266.90
  6. Step 6: Final answer
    x = 1,978.62

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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.