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Finding the Fourth Proportional to 3,184.98, 4,778.08 and 993.64

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Solution

The fourth proportional to 3,184.98, 4,778.08 and 993.64 is: 1,490.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.98 : 4,778.08 = 993.64 : x
  2. Step 2: Convert to fraction form
    3,184.98/4,778.08 = 993.64/x
  3. Step 3: Cross multiply
    3,184.98x = 4,778.08 × 993.64
  4. Step 4: Simplify right side
    3,184.98x = 4,747,691.41
  5. Step 5: Solve for x
    x = 4,747,691.41/3,184.98
  6. Step 6: Final answer
    x = 1,490.65

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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.