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Finding the Fourth Proportional to 3,323.50, 4,977 and 1,932.62

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Solution

The fourth proportional to 3,323.50, 4,977 and 1,932.62 is: 2,894.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.50 : 4,977 = 1,932.62 : x
  2. Step 2: Convert to fraction form
    3,323.50/4,977 = 1,932.62/x
  3. Step 3: Cross multiply
    3,323.50x = 4,977 × 1,932.62
  4. Step 4: Simplify right side
    3,323.50x = 9,618,624.86
  5. Step 5: Solve for x
    x = 9,618,624.86/3,323.50
  6. Step 6: Final answer
    x = 2,894.13

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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.