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Finding the Fourth Proportional to 2,131.96, 3,197.96 and 592.96

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Solution

The fourth proportional to 2,131.96, 3,197.96 and 592.96 is: 889.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.96 : 3,197.96 = 592.96 : x
  2. Step 2: Convert to fraction form
    2,131.96/3,197.96 = 592.96/x
  3. Step 3: Cross multiply
    2,131.96x = 3,197.96 × 592.96
  4. Step 4: Simplify right side
    2,131.96x = 1,896,262.36
  5. Step 5: Solve for x
    x = 1,896,262.36/2,131.96
  6. Step 6: Final answer
    x = 889.45

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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.