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Finding the Fourth Proportional to 2,297.89, 3,446.81 and 654.22

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Solution

The fourth proportional to 2,297.89, 3,446.81 and 654.22 is: 981.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.89 : 3,446.81 = 654.22 : x
  2. Step 2: Convert to fraction form
    2,297.89/3,446.81 = 654.22/x
  3. Step 3: Cross multiply
    2,297.89x = 3,446.81 × 654.22
  4. Step 4: Simplify right side
    2,297.89x = 2,254,960.15
  5. Step 5: Solve for x
    x = 2,254,960.15/2,297.89
  6. Step 6: Final answer
    x = 981.32

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1.5x scale

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.