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Finding the Fourth Proportional to 2,175.26, 3,259.71 and 1,005.62

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Solution

The fourth proportional to 2,175.26, 3,259.71 and 1,005.62 is: 1,506.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.26 : 3,259.71 = 1,005.62 : x
  2. Step 2: Convert to fraction form
    2,175.26/3,259.71 = 1,005.62/x
  3. Step 3: Cross multiply
    2,175.26x = 3,259.71 × 1,005.62
  4. Step 4: Simplify right side
    2,175.26x = 3,278,013.27
  5. Step 5: Solve for x
    x = 3,278,013.27/2,175.26
  6. Step 6: Final answer
    x = 1,506.96

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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.