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Finding the Fourth Proportional to 2,105.52, 3,157.52 and 624.30

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Solution

The fourth proportional to 2,105.52, 3,157.52 and 624.30 is: 936.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.52 : 3,157.52 = 624.30 : x
  2. Step 2: Convert to fraction form
    2,105.52/3,157.52 = 624.30/x
  3. Step 3: Cross multiply
    2,105.52x = 3,157.52 × 624.30
  4. Step 4: Simplify right side
    2,105.52x = 1,971,239.74
  5. Step 5: Solve for x
    x = 1,971,239.74/2,105.52
  6. Step 6: Final answer
    x = 936.22

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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.