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Finding the Fourth Proportional to 2,324.53, 3,207.74 and 1,262.27

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Solution

The fourth proportional to 2,324.53, 3,207.74 and 1,262.27 is: 1,741.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.53 : 3,207.74 = 1,262.27 : x
  2. Step 2: Convert to fraction form
    2,324.53/3,207.74 = 1,262.27/x
  3. Step 3: Cross multiply
    2,324.53x = 3,207.74 × 1,262.27
  4. Step 4: Simplify right side
    2,324.53x = 4,049,033.97
  5. Step 5: Solve for x
    x = 4,049,033.97/2,324.53
  6. Step 6: Final answer
    x = 1,741.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.