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Finding the Fourth Proportional to 2,194.56, 3,270.32 and 2,134.41

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Solution

The fourth proportional to 2,194.56, 3,270.32 and 2,134.41 is: 3,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.56 : 3,270.32 = 2,134.41 : x
  2. Step 2: Convert to fraction form
    2,194.56/3,270.32 = 2,134.41/x
  3. Step 3: Cross multiply
    2,194.56x = 3,270.32 × 2,134.41
  4. Step 4: Simplify right side
    2,194.56x = 6,980,223.78
  5. Step 5: Solve for x
    x = 6,980,223.78/2,194.56
  6. Step 6: Final answer
    x = 3,180.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.