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Finding the Fourth Proportional to 3,131.82, 4,324.84 and 2,014.70

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Solution

The fourth proportional to 3,131.82, 4,324.84 and 2,014.70 is: 2,782.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.82 : 4,324.84 = 2,014.70 : x
  2. Step 2: Convert to fraction form
    3,131.82/4,324.84 = 2,014.70/x
  3. Step 3: Cross multiply
    3,131.82x = 4,324.84 × 2,014.70
  4. Step 4: Simplify right side
    3,131.82x = 8,713,228.49
  5. Step 5: Solve for x
    x = 8,713,228.49/3,131.82
  6. Step 6: Final answer
    x = 2,782.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.