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Finding the Fourth Proportional to 3,184.80, 4,777.38 and 993.84

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Solution

The fourth proportional to 3,184.80, 4,777.38 and 993.84 is: 1,490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.80 : 4,777.38 = 993.84 : x
  2. Step 2: Convert to fraction form
    3,184.80/4,777.38 = 993.84/x
  3. Step 3: Cross multiply
    3,184.80x = 4,777.38 × 993.84
  4. Step 4: Simplify right side
    3,184.80x = 4,747,951.34
  5. Step 5: Solve for x
    x = 4,747,951.34/3,184.80
  6. Step 6: Final answer
    x = 1,490.82

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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.