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Finding the Fourth Proportional to 1,942.14, 2,913.24 and 643.56

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Solution

The fourth proportional to 1,942.14, 2,913.24 and 643.56 is: 965.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.14 : 2,913.24 = 643.56 : x
  2. Step 2: Convert to fraction form
    1,942.14/2,913.24 = 643.56/x
  3. Step 3: Cross multiply
    1,942.14x = 2,913.24 × 643.56
  4. Step 4: Simplify right side
    1,942.14x = 1,874,844.73
  5. Step 5: Solve for x
    x = 1,874,844.73/1,942.14
  6. Step 6: Final answer
    x = 965.35

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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.