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Finding the Fourth Proportional to 2,287.44, 3,431.10 and 556.05

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Solution

The fourth proportional to 2,287.44, 3,431.10 and 556.05 is: 834.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.44 : 3,431.10 = 556.05 : x
  2. Step 2: Convert to fraction form
    2,287.44/3,431.10 = 556.05/x
  3. Step 3: Cross multiply
    2,287.44x = 3,431.10 × 556.05
  4. Step 4: Simplify right side
    2,287.44x = 1,907,863.16
  5. Step 5: Solve for x
    x = 1,907,863.16/2,287.44
  6. Step 6: Final answer
    x = 834.06

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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.