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Finding the Fourth Proportional to 3,293.25, 4,941.82 and 1,214.71

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Solution

The fourth proportional to 3,293.25, 4,941.82 and 1,214.71 is: 1,822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.25 : 4,941.82 = 1,214.71 : x
  2. Step 2: Convert to fraction form
    3,293.25/4,941.82 = 1,214.71/x
  3. Step 3: Cross multiply
    3,293.25x = 4,941.82 × 1,214.71
  4. Step 4: Simplify right side
    3,293.25x = 6,002,862.78
  5. Step 5: Solve for x
    x = 6,002,862.78/3,293.25
  6. Step 6: Final answer
    x = 1,822.78

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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.