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Finding the Fourth Proportional to 2,297.86, 3,446.82 and 654.41

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Solution

The fourth proportional to 2,297.86, 3,446.82 and 654.41 is: 981.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.86 : 3,446.82 = 654.41 : x
  2. Step 2: Convert to fraction form
    2,297.86/3,446.82 = 654.41/x
  3. Step 3: Cross multiply
    2,297.86x = 3,446.82 × 654.41
  4. Step 4: Simplify right side
    2,297.86x = 2,255,633.48
  5. Step 5: Solve for x
    x = 2,255,633.48/2,297.86
  6. Step 6: Final answer
    x = 981.62

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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.