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Finding the Fourth Proportional to 1,942.36, 2,913.54 and 643.92

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Solution

The fourth proportional to 1,942.36, 2,913.54 and 643.92 is: 965.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.36 : 2,913.54 = 643.92 : x
  2. Step 2: Convert to fraction form
    1,942.36/2,913.54 = 643.92/x
  3. Step 3: Cross multiply
    1,942.36x = 2,913.54 × 643.92
  4. Step 4: Simplify right side
    1,942.36x = 1,876,086.68
  5. Step 5: Solve for x
    x = 1,876,086.68/1,942.36
  6. Step 6: Final answer
    x = 965.88

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1.5x scale

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.