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Finding the Fourth Proportional to 3,131.66, 4,323.42 and 2,138.40

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Solution

The fourth proportional to 3,131.66, 4,323.42 and 2,138.40 is: 2,952.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.66 : 4,323.42 = 2,138.40 : x
  2. Step 2: Convert to fraction form
    3,131.66/4,323.42 = 2,138.40/x
  3. Step 3: Cross multiply
    3,131.66x = 4,323.42 × 2,138.40
  4. Step 4: Simplify right side
    3,131.66x = 9,245,201.33
  5. Step 5: Solve for x
    x = 9,245,201.33/3,131.66
  6. Step 6: Final answer
    x = 2,952.17

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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.