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Finding the Fourth Proportional to 2,311.87, 3,476.13 and 2,131.47

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Solution

The fourth proportional to 2,311.87, 3,476.13 and 2,131.47 is: 3,204.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.87 : 3,476.13 = 2,131.47 : x
  2. Step 2: Convert to fraction form
    2,311.87/3,476.13 = 2,131.47/x
  3. Step 3: Cross multiply
    2,311.87x = 3,476.13 × 2,131.47
  4. Step 4: Simplify right side
    2,311.87x = 7,409,266.81
  5. Step 5: Solve for x
    x = 7,409,266.81/2,311.87
  6. Step 6: Final answer
    x = 3,204.88

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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.