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Finding the Fourth Proportional to 2,869.44, 4,305.50 and 1,226.42

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Solution

The fourth proportional to 2,869.44, 4,305.50 and 1,226.42 is: 1,840.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.44 : 4,305.50 = 1,226.42 : x
  2. Step 2: Convert to fraction form
    2,869.44/4,305.50 = 1,226.42/x
  3. Step 3: Cross multiply
    2,869.44x = 4,305.50 × 1,226.42
  4. Step 4: Simplify right side
    2,869.44x = 5,280,351.31
  5. Step 5: Solve for x
    x = 5,280,351.31/2,869.44
  6. Step 6: Final answer
    x = 1,840.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.