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Finding the Fourth Proportional to 3,201.54, 4,800.77 and 1,642.29

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Solution

The fourth proportional to 3,201.54, 4,800.77 and 1,642.29 is: 2,462.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.54 : 4,800.77 = 1,642.29 : x
  2. Step 2: Convert to fraction form
    3,201.54/4,800.77 = 1,642.29/x
  3. Step 3: Cross multiply
    3,201.54x = 4,800.77 × 1,642.29
  4. Step 4: Simplify right side
    3,201.54x = 7,884,256.56
  5. Step 5: Solve for x
    x = 7,884,256.56/3,201.54
  6. Step 6: Final answer
    x = 2,462.65

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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.