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Finding the Fourth Proportional to 3,209.19, 4,809.18 and 1,889.83

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Solution

The fourth proportional to 3,209.19, 4,809.18 and 1,889.83 is: 2,832.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.19 : 4,809.18 = 1,889.83 : x
  2. Step 2: Convert to fraction form
    3,209.19/4,809.18 = 1,889.83/x
  3. Step 3: Cross multiply
    3,209.19x = 4,809.18 × 1,889.83
  4. Step 4: Simplify right side
    3,209.19x = 9,088,523.19
  5. Step 5: Solve for x
    x = 9,088,523.19/3,209.19
  6. Step 6: Final answer
    x = 2,832.03

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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.