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Finding the Fourth Proportional to 3,131.66, 4,694.76 and 2,021.76

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Solution

The fourth proportional to 3,131.66, 4,694.76 and 2,021.76 is: 3,030.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.66 : 4,694.76 = 2,021.76 : x
  2. Step 2: Convert to fraction form
    3,131.66/4,694.76 = 2,021.76/x
  3. Step 3: Cross multiply
    3,131.66x = 4,694.76 × 2,021.76
  4. Step 4: Simplify right side
    3,131.66x = 9,491,677.98
  5. Step 5: Solve for x
    x = 9,491,677.98/3,131.66
  6. Step 6: Final answer
    x = 3,030.88

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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.