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Finding the Fourth Proportional to 3,213.96, 4,820.94 and 1,266.15

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Solution

The fourth proportional to 3,213.96, 4,820.94 and 1,266.15 is: 1,899.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.96 : 4,820.94 = 1,266.15 : x
  2. Step 2: Convert to fraction form
    3,213.96/4,820.94 = 1,266.15/x
  3. Step 3: Cross multiply
    3,213.96x = 4,820.94 × 1,266.15
  4. Step 4: Simplify right side
    3,213.96x = 6,104,033.18
  5. Step 5: Solve for x
    x = 6,104,033.18/3,213.96
  6. Step 6: Final answer
    x = 1,899.23

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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.