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Finding the Fourth Proportional to 2,923.92, 4,384.62 and 1,168.62

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Solution

The fourth proportional to 2,923.92, 4,384.62 and 1,168.62 is: 1,752.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.92 : 4,384.62 = 1,168.62 : x
  2. Step 2: Convert to fraction form
    2,923.92/4,384.62 = 1,168.62/x
  3. Step 3: Cross multiply
    2,923.92x = 4,384.62 × 1,168.62
  4. Step 4: Simplify right side
    2,923.92x = 5,123,954.62
  5. Step 5: Solve for x
    x = 5,123,954.62/2,923.92
  6. Step 6: Final answer
    x = 1,752.43

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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.