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Finding the Fourth Proportional to 2,932.66, 4,399.67 and 984.81

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Solution

The fourth proportional to 2,932.66, 4,399.67 and 984.81 is: 1,477.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.66 : 4,399.67 = 984.81 : x
  2. Step 2: Convert to fraction form
    2,932.66/4,399.67 = 984.81/x
  3. Step 3: Cross multiply
    2,932.66x = 4,399.67 × 984.81
  4. Step 4: Simplify right side
    2,932.66x = 4,332,839.01
  5. Step 5: Solve for x
    x = 4,332,839.01/2,932.66
  6. Step 6: Final answer
    x = 1,477.44

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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.