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Finding the Fourth Proportional to 3,184.30, 4,777.37 and 993.05

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Solution

The fourth proportional to 3,184.30, 4,777.37 and 993.05 is: 1,489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.30 : 4,777.37 = 993.05 : x
  2. Step 2: Convert to fraction form
    3,184.30/4,777.37 = 993.05/x
  3. Step 3: Cross multiply
    3,184.30x = 4,777.37 × 993.05
  4. Step 4: Simplify right side
    3,184.30x = 4,744,167.28
  5. Step 5: Solve for x
    x = 4,744,167.28/3,184.30
  6. Step 6: Final answer
    x = 1,489.86

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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.