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Finding the Fourth Proportional to 2,131.36, 3,196.68 and 592

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Solution

The fourth proportional to 2,131.36, 3,196.68 and 592 is: 887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.36 : 3,196.68 = 592 : x
  2. Step 2: Convert to fraction form
    2,131.36/3,196.68 = 592/x
  3. Step 3: Cross multiply
    2,131.36x = 3,196.68 × 592
  4. Step 4: Simplify right side
    2,131.36x = 1,892,434.56
  5. Step 5: Solve for x
    x = 1,892,434.56/2,131.36
  6. Step 6: Final answer
    x = 887.90

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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.