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Finding the Fourth Proportional to 2,304.72, 3,448.80 and 2,150.24

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Solution

The fourth proportional to 2,304.72, 3,448.80 and 2,150.24 is: 3,217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.72 : 3,448.80 = 2,150.24 : x
  2. Step 2: Convert to fraction form
    2,304.72/3,448.80 = 2,150.24/x
  3. Step 3: Cross multiply
    2,304.72x = 3,448.80 × 2,150.24
  4. Step 4: Simplify right side
    2,304.72x = 7,415,730.47
  5. Step 5: Solve for x
    x = 7,415,730.47/2,304.72
  6. Step 6: Final answer
    x = 3,217.63

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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.