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Finding the Fourth Proportional to 3,791.54, 5,688.09 and 1,600.29

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Solution

The fourth proportional to 3,791.54, 5,688.09 and 1,600.29 is: 2,400.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.54 : 5,688.09 = 1,600.29 : x
  2. Step 2: Convert to fraction form
    3,791.54/5,688.09 = 1,600.29/x
  3. Step 3: Cross multiply
    3,791.54x = 5,688.09 × 1,600.29
  4. Step 4: Simplify right side
    3,791.54x = 9,102,593.55
  5. Step 5: Solve for x
    x = 9,102,593.55/3,791.54
  6. Step 6: Final answer
    x = 2,400.77

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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.