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Finding the Fourth Proportional to 2,270.40, 3,131.60 and 2,194.22

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Solution

The fourth proportional to 2,270.40, 3,131.60 and 2,194.22 is: 3,026.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.40 : 3,131.60 = 2,194.22 : x
  2. Step 2: Convert to fraction form
    2,270.40/3,131.60 = 2,194.22/x
  3. Step 3: Cross multiply
    2,270.40x = 3,131.60 × 2,194.22
  4. Step 4: Simplify right side
    2,270.40x = 6,871,392.72
  5. Step 5: Solve for x
    x = 6,871,392.72/2,270.40
  6. Step 6: Final answer
    x = 3,026.51

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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.