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Finding the Fourth Proportional to 2,182.28, 3,273.45 and 643.28

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Solution

The fourth proportional to 2,182.28, 3,273.45 and 643.28 is: 964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.28 : 3,273.45 = 643.28 : x
  2. Step 2: Convert to fraction form
    2,182.28/3,273.45 = 643.28/x
  3. Step 3: Cross multiply
    2,182.28x = 3,273.45 × 643.28
  4. Step 4: Simplify right side
    2,182.28x = 2,105,744.92
  5. Step 5: Solve for x
    x = 2,105,744.92/2,182.28
  6. Step 6: Final answer
    x = 964.93

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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.