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Finding the Fourth Proportional to 2,793.84, 4,190.78 and 944.97

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Solution

The fourth proportional to 2,793.84, 4,190.78 and 944.97 is: 1,417.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.84 : 4,190.78 = 944.97 : x
  2. Step 2: Convert to fraction form
    2,793.84/4,190.78 = 944.97/x
  3. Step 3: Cross multiply
    2,793.84x = 4,190.78 × 944.97
  4. Step 4: Simplify right side
    2,793.84x = 3,960,156.65
  5. Step 5: Solve for x
    x = 3,960,156.65/2,793.84
  6. Step 6: Final answer
    x = 1,417.46

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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.