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Finding the Fourth Proportional to 2,252.69, 3,380.75 and 1,472.48

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Solution

The fourth proportional to 2,252.69, 3,380.75 and 1,472.48 is: 2,209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.69 : 3,380.75 = 1,472.48 : x
  2. Step 2: Convert to fraction form
    2,252.69/3,380.75 = 1,472.48/x
  3. Step 3: Cross multiply
    2,252.69x = 3,380.75 × 1,472.48
  4. Step 4: Simplify right side
    2,252.69x = 4,978,079.40
  5. Step 5: Solve for x
    x = 4,978,079.40/2,252.69
  6. Step 6: Final answer
    x = 2,209.84

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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.