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Finding the Fourth Proportional to 2,297.74, 3,446.28 and 654.44

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Solution

The fourth proportional to 2,297.74, 3,446.28 and 654.44 is: 981.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.74 : 3,446.28 = 654.44 : x
  2. Step 2: Convert to fraction form
    2,297.74/3,446.28 = 654.44/x
  3. Step 3: Cross multiply
    2,297.74x = 3,446.28 × 654.44
  4. Step 4: Simplify right side
    2,297.74x = 2,255,383.48
  5. Step 5: Solve for x
    x = 2,255,383.48/2,297.74
  6. Step 6: Final answer
    x = 981.57

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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.