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Finding the Fourth Proportional to 2,126.87, 3,189.81 and 810.77

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Solution

The fourth proportional to 2,126.87, 3,189.81 and 810.77 is: 1,215.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.87 : 3,189.81 = 810.77 : x
  2. Step 2: Convert to fraction form
    2,126.87/3,189.81 = 810.77/x
  3. Step 3: Cross multiply
    2,126.87x = 3,189.81 × 810.77
  4. Step 4: Simplify right side
    2,126.87x = 2,586,182.25
  5. Step 5: Solve for x
    x = 2,586,182.25/2,126.87
  6. Step 6: Final answer
    x = 1,215.96

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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.