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Finding the Fourth Proportional to 2,469.87, 3,705.21 and 1,009.44

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Solution

The fourth proportional to 2,469.87, 3,705.21 and 1,009.44 is: 1,514.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.87 : 3,705.21 = 1,009.44 : x
  2. Step 2: Convert to fraction form
    2,469.87/3,705.21 = 1,009.44/x
  3. Step 3: Cross multiply
    2,469.87x = 3,705.21 × 1,009.44
  4. Step 4: Simplify right side
    2,469.87x = 3,740,187.18
  5. Step 5: Solve for x
    x = 3,740,187.18/2,469.87
  6. Step 6: Final answer
    x = 1,514.33

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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.