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Finding the Fourth Proportional to 2,349.72, 3,524.62 and 618.28

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Solution

The fourth proportional to 2,349.72, 3,524.62 and 618.28 is: 927.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.72 : 3,524.62 = 618.28 : x
  2. Step 2: Convert to fraction form
    2,349.72/3,524.62 = 618.28/x
  3. Step 3: Cross multiply
    2,349.72x = 3,524.62 × 618.28
  4. Step 4: Simplify right side
    2,349.72x = 2,179,202.05
  5. Step 5: Solve for x
    x = 2,179,202.05/2,349.72
  6. Step 6: Final answer
    x = 927.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.