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Finding the Fourth Proportional to 3,274.66, 4,911.99 and 1,083.46

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Solution

The fourth proportional to 3,274.66, 4,911.99 and 1,083.46 is: 1,625.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.66 : 4,911.99 = 1,083.46 : x
  2. Step 2: Convert to fraction form
    3,274.66/4,911.99 = 1,083.46/x
  3. Step 3: Cross multiply
    3,274.66x = 4,911.99 × 1,083.46
  4. Step 4: Simplify right side
    3,274.66x = 5,321,944.69
  5. Step 5: Solve for x
    x = 5,321,944.69/3,274.66
  6. Step 6: Final answer
    x = 1,625.19

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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.