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Finding the Fourth Proportional to 3,324.66, 4,977.31 and 1,933.75

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Solution

The fourth proportional to 3,324.66, 4,977.31 and 1,933.75 is: 2,894.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,324.66 : 4,977.31 = 1,933.75 : x
  2. Step 2: Convert to fraction form
    3,324.66/4,977.31 = 1,933.75/x
  3. Step 3: Cross multiply
    3,324.66x = 4,977.31 × 1,933.75
  4. Step 4: Simplify right side
    3,324.66x = 9,624,873.21
  5. Step 5: Solve for x
    x = 9,624,873.21/3,324.66
  6. Step 6: Final answer
    x = 2,894.99

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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.