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Finding the Fourth Proportional to 2,202.87, 3,305.12 and 1,587.27

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Solution

The fourth proportional to 2,202.87, 3,305.12 and 1,587.27 is: 2,381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.87 : 3,305.12 = 1,587.27 : x
  2. Step 2: Convert to fraction form
    2,202.87/3,305.12 = 1,587.27/x
  3. Step 3: Cross multiply
    2,202.87x = 3,305.12 × 1,587.27
  4. Step 4: Simplify right side
    2,202.87x = 5,246,109.89
  5. Step 5: Solve for x
    x = 5,246,109.89/2,202.87
  6. Step 6: Final answer
    x = 2,381.49

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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.