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Finding the Fourth Proportional to 1,664.38, 2,494.33 and 922.24

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Solution

The fourth proportional to 1,664.38, 2,494.33 and 922.24 is: 1,382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.38 : 2,494.33 = 922.24 : x
  2. Step 2: Convert to fraction form
    1,664.38/2,494.33 = 922.24/x
  3. Step 3: Cross multiply
    1,664.38x = 2,494.33 × 922.24
  4. Step 4: Simplify right side
    1,664.38x = 2,300,370.90
  5. Step 5: Solve for x
    x = 2,300,370.90/1,664.38
  6. Step 6: Final answer
    x = 1,382.12

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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.