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Finding the Fourth Proportional to 2,206.19, 3,309.20 and 889.56

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Solution

The fourth proportional to 2,206.19, 3,309.20 and 889.56 is: 1,334.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.19 : 3,309.20 = 889.56 : x
  2. Step 2: Convert to fraction form
    2,206.19/3,309.20 = 889.56/x
  3. Step 3: Cross multiply
    2,206.19x = 3,309.20 × 889.56
  4. Step 4: Simplify right side
    2,206.19x = 2,943,731.95
  5. Step 5: Solve for x
    x = 2,943,731.95/2,206.19
  6. Step 6: Final answer
    x = 1,334.31

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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.