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Finding the Fourth Proportional to 2,131.13, 3,196.68 and 571.16

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Solution

The fourth proportional to 2,131.13, 3,196.68 and 571.16 is: 856.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.13 : 3,196.68 = 571.16 : x
  2. Step 2: Convert to fraction form
    2,131.13/3,196.68 = 571.16/x
  3. Step 3: Cross multiply
    2,131.13x = 3,196.68 × 571.16
  4. Step 4: Simplify right side
    2,131.13x = 1,825,815.75
  5. Step 5: Solve for x
    x = 1,825,815.75/2,131.13
  6. Step 6: Final answer
    x = 856.74

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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.