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Finding the Fourth Proportional to 2,131.75, 3,197.82 and 592.75

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Solution

The fourth proportional to 2,131.75, 3,197.82 and 592.75 is: 889.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.75 : 3,197.82 = 592.75 : x
  2. Step 2: Convert to fraction form
    2,131.75/3,197.82 = 592.75/x
  3. Step 3: Cross multiply
    2,131.75x = 3,197.82 × 592.75
  4. Step 4: Simplify right side
    2,131.75x = 1,895,507.81
  5. Step 5: Solve for x
    x = 1,895,507.81/2,131.75
  6. Step 6: Final answer
    x = 889.18

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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.