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Finding the Fourth Proportional to 2,131.35, 3,196.77 and 571.47

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Solution

The fourth proportional to 2,131.35, 3,196.77 and 571.47 is: 857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.35 : 3,196.77 = 571.47 : x
  2. Step 2: Convert to fraction form
    2,131.35/3,196.77 = 571.47/x
  3. Step 3: Cross multiply
    2,131.35x = 3,196.77 × 571.47
  4. Step 4: Simplify right side
    2,131.35x = 1,826,858.15
  5. Step 5: Solve for x
    x = 1,826,858.15/2,131.35
  6. Step 6: Final answer
    x = 857.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.