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Finding the Fourth Proportional to 2,794.92, 4,192.25 and 945.42

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Solution

The fourth proportional to 2,794.92, 4,192.25 and 945.42 is: 1,418.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.92 : 4,192.25 = 945.42 : x
  2. Step 2: Convert to fraction form
    2,794.92/4,192.25 = 945.42/x
  3. Step 3: Cross multiply
    2,794.92x = 4,192.25 × 945.42
  4. Step 4: Simplify right side
    2,794.92x = 3,963,432.27
  5. Step 5: Solve for x
    x = 3,963,432.27/2,794.92
  6. Step 6: Final answer
    x = 1,418.08

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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.