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Finding the Fourth Proportional to 2,369.92, 3,270.54 and 1,321.96

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Solution

The fourth proportional to 2,369.92, 3,270.54 and 1,321.96 is: 1,824.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.92 : 3,270.54 = 1,321.96 : x
  2. Step 2: Convert to fraction form
    2,369.92/3,270.54 = 1,321.96/x
  3. Step 3: Cross multiply
    2,369.92x = 3,270.54 × 1,321.96
  4. Step 4: Simplify right side
    2,369.92x = 4,323,523.06
  5. Step 5: Solve for x
    x = 4,323,523.06/2,369.92
  6. Step 6: Final answer
    x = 1,824.33

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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.