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Finding the Fourth Proportional to 3,001.25, 4,501.86 and 810.20

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Solution

The fourth proportional to 3,001.25, 4,501.86 and 810.20 is: 1,215.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.25 : 4,501.86 = 810.20 : x
  2. Step 2: Convert to fraction form
    3,001.25/4,501.86 = 810.20/x
  3. Step 3: Cross multiply
    3,001.25x = 4,501.86 × 810.20
  4. Step 4: Simplify right side
    3,001.25x = 3,647,406.97
  5. Step 5: Solve for x
    x = 3,647,406.97/3,001.25
  6. Step 6: Final answer
    x = 1,215.30

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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.