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Finding the Fourth Proportional to 2,297.43, 3,446.96 and 999

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Solution

The fourth proportional to 2,297.43, 3,446.96 and 999 is: 1,498.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.43 : 3,446.96 = 999 : x
  2. Step 2: Convert to fraction form
    2,297.43/3,446.96 = 999/x
  3. Step 3: Cross multiply
    2,297.43x = 3,446.96 × 999
  4. Step 4: Simplify right side
    2,297.43x = 3,443,508.05
  5. Step 5: Solve for x
    x = 3,443,508.05/2,297.43
  6. Step 6: Final answer
    x = 1,498.85

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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.