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Finding the Fourth Proportional to 1,942.17, 2,912.58 and 643.29

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Solution

The fourth proportional to 1,942.17, 2,912.58 and 643.29 is: 964.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.17 : 2,912.58 = 643.29 : x
  2. Step 2: Convert to fraction form
    1,942.17/2,912.58 = 643.29/x
  3. Step 3: Cross multiply
    1,942.17x = 2,912.58 × 643.29
  4. Step 4: Simplify right side
    1,942.17x = 1,873,633.59
  5. Step 5: Solve for x
    x = 1,873,633.59/1,942.17
  6. Step 6: Final answer
    x = 964.71

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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.