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Finding the Fourth Proportional to 2,942.14, 4,412.94 and 994.09

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Solution

The fourth proportional to 2,942.14, 4,412.94 and 994.09 is: 1,491.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.14 : 4,412.94 = 994.09 : x
  2. Step 2: Convert to fraction form
    2,942.14/4,412.94 = 994.09/x
  3. Step 3: Cross multiply
    2,942.14x = 4,412.94 × 994.09
  4. Step 4: Simplify right side
    2,942.14x = 4,386,859.52
  5. Step 5: Solve for x
    x = 4,386,859.52/2,942.14
  6. Step 6: Final answer
    x = 1,491.04

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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.