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Finding the Fourth Proportional to 2,509.88, 3,764.70 and 1,193.22

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Solution

The fourth proportional to 2,509.88, 3,764.70 and 1,193.22 is: 1,789.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.88 : 3,764.70 = 1,193.22 : x
  2. Step 2: Convert to fraction form
    2,509.88/3,764.70 = 1,193.22/x
  3. Step 3: Cross multiply
    2,509.88x = 3,764.70 × 1,193.22
  4. Step 4: Simplify right side
    2,509.88x = 4,492,115.33
  5. Step 5: Solve for x
    x = 4,492,115.33/2,509.88
  6. Step 6: Final answer
    x = 1,789.78

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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.