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Finding the Fourth Proportional to 3,295.85, 4,943.78 and 1,214.96

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Solution

The fourth proportional to 3,295.85, 4,943.78 and 1,214.96 is: 1,822.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.85 : 4,943.78 = 1,214.96 : x
  2. Step 2: Convert to fraction form
    3,295.85/4,943.78 = 1,214.96/x
  3. Step 3: Cross multiply
    3,295.85x = 4,943.78 × 1,214.96
  4. Step 4: Simplify right side
    3,295.85x = 6,006,473.27
  5. Step 5: Solve for x
    x = 6,006,473.27/3,295.85
  6. Step 6: Final answer
    x = 1,822.43

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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.