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Finding the Fourth Proportional to 2,889.57, 4,333.83 and 809.06

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Solution

The fourth proportional to 2,889.57, 4,333.83 and 809.06 is: 1,213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.57 : 4,333.83 = 809.06 : x
  2. Step 2: Convert to fraction form
    2,889.57/4,333.83 = 809.06/x
  3. Step 3: Cross multiply
    2,889.57x = 4,333.83 × 809.06
  4. Step 4: Simplify right side
    2,889.57x = 3,506,306.83
  5. Step 5: Solve for x
    x = 3,506,306.83/2,889.57
  6. Step 6: Final answer
    x = 1,213.44

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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.