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Finding the Fourth Proportional to 2,131.86, 3,197.76 and 571.82

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Solution

The fourth proportional to 2,131.86, 3,197.76 and 571.82 is: 857.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.86 : 3,197.76 = 571.82 : x
  2. Step 2: Convert to fraction form
    2,131.86/3,197.76 = 571.82/x
  3. Step 3: Cross multiply
    2,131.86x = 3,197.76 × 571.82
  4. Step 4: Simplify right side
    2,131.86x = 1,828,543.12
  5. Step 5: Solve for x
    x = 1,828,543.12/2,131.86
  6. Step 6: Final answer
    x = 857.72

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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.