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Finding the Fourth Proportional to 3,102.48, 4,653.72 and 793.98

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Solution

The fourth proportional to 3,102.48, 4,653.72 and 793.98 is: 1,190.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.48 : 4,653.72 = 793.98 : x
  2. Step 2: Convert to fraction form
    3,102.48/4,653.72 = 793.98/x
  3. Step 3: Cross multiply
    3,102.48x = 4,653.72 × 793.98
  4. Step 4: Simplify right side
    3,102.48x = 3,694,960.61
  5. Step 5: Solve for x
    x = 3,694,960.61/3,102.48
  6. Step 6: Final answer
    x = 1,190.97

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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.