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Finding the Fourth Proportional to 2,162.50, 3,244.23 and 623.38

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Solution

The fourth proportional to 2,162.50, 3,244.23 and 623.38 is: 935.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.50 : 3,244.23 = 623.38 : x
  2. Step 2: Convert to fraction form
    2,162.50/3,244.23 = 623.38/x
  3. Step 3: Cross multiply
    2,162.50x = 3,244.23 × 623.38
  4. Step 4: Simplify right side
    2,162.50x = 2,022,388.10
  5. Step 5: Solve for x
    x = 2,022,388.10/2,162.50
  6. Step 6: Final answer
    x = 935.21

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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.