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Finding the Fourth Proportional to 3,001.26, 4,501.57 and 810.21

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Solution

The fourth proportional to 3,001.26, 4,501.57 and 810.21 is: 1,215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.26 : 4,501.57 = 810.21 : x
  2. Step 2: Convert to fraction form
    3,001.26/4,501.57 = 810.21/x
  3. Step 3: Cross multiply
    3,001.26x = 4,501.57 × 810.21
  4. Step 4: Simplify right side
    3,001.26x = 3,647,217.03
  5. Step 5: Solve for x
    x = 3,647,217.03/3,001.26
  6. Step 6: Final answer
    x = 1,215.23

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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.