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Finding the Fourth Proportional to 2,179.26, 3,265.71 and 1,009.62

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Solution

The fourth proportional to 2,179.26, 3,265.71 and 1,009.62 is: 1,512.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.26 : 3,265.71 = 1,009.62 : x
  2. Step 2: Convert to fraction form
    2,179.26/3,265.71 = 1,009.62/x
  3. Step 3: Cross multiply
    2,179.26x = 3,265.71 × 1,009.62
  4. Step 4: Simplify right side
    2,179.26x = 3,297,126.13
  5. Step 5: Solve for x
    x = 3,297,126.13/2,179.26
  6. Step 6: Final answer
    x = 1,512.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.