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Finding the Fourth Proportional to 3,191.80, 4,404.05 and 1,865.24

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Solution

The fourth proportional to 3,191.80, 4,404.05 and 1,865.24 is: 2,573.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.80 : 4,404.05 = 1,865.24 : x
  2. Step 2: Convert to fraction form
    3,191.80/4,404.05 = 1,865.24/x
  3. Step 3: Cross multiply
    3,191.80x = 4,404.05 × 1,865.24
  4. Step 4: Simplify right side
    3,191.80x = 8,214,611.91
  5. Step 5: Solve for x
    x = 8,214,611.91/3,191.80
  6. Step 6: Final answer
    x = 2,573.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.