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Finding the Fourth Proportional to 2,232.12, 3,348.80 and 2,232.12

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Solution

The fourth proportional to 2,232.12, 3,348.80 and 2,232.12 is: 3,348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.12 : 3,348.80 = 2,232.12 : x
  2. Step 2: Convert to fraction form
    2,232.12/3,348.80 = 2,232.12/x
  3. Step 3: Cross multiply
    2,232.12x = 3,348.80 × 2,232.12
  4. Step 4: Simplify right side
    2,232.12x = 7,474,923.46
  5. Step 5: Solve for x
    x = 7,474,923.46/2,232.12
  6. Step 6: Final answer
    x = 3,348.80

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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.