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Finding the Fourth Proportional to 3,640.94, 5,456.57 and 1,448.46

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Solution

The fourth proportional to 3,640.94, 5,456.57 and 1,448.46 is: 2,170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.94 : 5,456.57 = 1,448.46 : x
  2. Step 2: Convert to fraction form
    3,640.94/5,456.57 = 1,448.46/x
  3. Step 3: Cross multiply
    3,640.94x = 5,456.57 × 1,448.46
  4. Step 4: Simplify right side
    3,640.94x = 7,903,616.14
  5. Step 5: Solve for x
    x = 7,903,616.14/3,640.94
  6. Step 6: Final answer
    x = 2,170.77

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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.