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Finding the Fourth Proportional to 3,200.67, 4,801.20 and 1,009.47

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Solution

The fourth proportional to 3,200.67, 4,801.20 and 1,009.47 is: 1,514.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.67 : 4,801.20 = 1,009.47 : x
  2. Step 2: Convert to fraction form
    3,200.67/4,801.20 = 1,009.47/x
  3. Step 3: Cross multiply
    3,200.67x = 4,801.20 × 1,009.47
  4. Step 4: Simplify right side
    3,200.67x = 4,846,667.36
  5. Step 5: Solve for x
    x = 4,846,667.36/3,200.67
  6. Step 6: Final answer
    x = 1,514.27

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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.