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Finding the Fourth Proportional to 2,110.38, 3,164.25 and 810.30

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Solution

The fourth proportional to 2,110.38, 3,164.25 and 810.30 is: 1,214.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.38 : 3,164.25 = 810.30 : x
  2. Step 2: Convert to fraction form
    2,110.38/3,164.25 = 810.30/x
  3. Step 3: Cross multiply
    2,110.38x = 3,164.25 × 810.30
  4. Step 4: Simplify right side
    2,110.38x = 2,563,991.78
  5. Step 5: Solve for x
    x = 2,563,991.78/2,110.38
  6. Step 6: Final answer
    x = 1,214.94

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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.