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Finding the Fourth Proportional to 1,992.25, 2,989.10 and 624.25

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Solution

The fourth proportional to 1,992.25, 2,989.10 and 624.25 is: 936.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.25 : 2,989.10 = 624.25 : x
  2. Step 2: Convert to fraction form
    1,992.25/2,989.10 = 624.25/x
  3. Step 3: Cross multiply
    1,992.25x = 2,989.10 × 624.25
  4. Step 4: Simplify right side
    1,992.25x = 1,865,945.68
  5. Step 5: Solve for x
    x = 1,865,945.68/1,992.25
  6. Step 6: Final answer
    x = 936.60

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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.