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Finding the Fourth Proportional to 2,131.24, 3,196.88 and 571.32

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Solution

The fourth proportional to 2,131.24, 3,196.88 and 571.32 is: 856.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.24 : 3,196.88 = 571.32 : x
  2. Step 2: Convert to fraction form
    2,131.24/3,196.88 = 571.32/x
  3. Step 3: Cross multiply
    2,131.24x = 3,196.88 × 571.32
  4. Step 4: Simplify right side
    2,131.24x = 1,826,441.48
  5. Step 5: Solve for x
    x = 1,826,441.48/2,131.24
  6. Step 6: Final answer
    x = 856.99

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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.