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Finding the Fourth Proportional to 3,363.50, 5,043.93 and 1,977.18

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Solution

The fourth proportional to 3,363.50, 5,043.93 and 1,977.18 is: 2,964.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.50 : 5,043.93 = 1,977.18 : x
  2. Step 2: Convert to fraction form
    3,363.50/5,043.93 = 1,977.18/x
  3. Step 3: Cross multiply
    3,363.50x = 5,043.93 × 1,977.18
  4. Step 4: Simplify right side
    3,363.50x = 9,972,757.52
  5. Step 5: Solve for x
    x = 9,972,757.52/3,363.50
  6. Step 6: Final answer
    x = 2,964.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.