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Finding the Fourth Proportional to 2,297.53, 3,446.31 and 566.16

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Solution

The fourth proportional to 2,297.53, 3,446.31 and 566.16 is: 849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.53 : 3,446.31 = 566.16 : x
  2. Step 2: Convert to fraction form
    2,297.53/3,446.31 = 566.16/x
  3. Step 3: Cross multiply
    2,297.53x = 3,446.31 × 566.16
  4. Step 4: Simplify right side
    2,297.53x = 1,951,152.07
  5. Step 5: Solve for x
    x = 1,951,152.07/2,297.53
  6. Step 6: Final answer
    x = 849.24

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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.