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Finding the Fourth Proportional to 2,207.70, 3,314.08 and 1,747.02

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Solution

The fourth proportional to 2,207.70, 3,314.08 and 1,747.02 is: 2,622.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.70 : 3,314.08 = 1,747.02 : x
  2. Step 2: Convert to fraction form
    2,207.70/3,314.08 = 1,747.02/x
  3. Step 3: Cross multiply
    2,207.70x = 3,314.08 × 1,747.02
  4. Step 4: Simplify right side
    2,207.70x = 5,789,764.04
  5. Step 5: Solve for x
    x = 5,789,764.04/2,207.70
  6. Step 6: Final answer
    x = 2,622.53

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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.