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Finding the Fourth Proportional to 2,102.82, 3,154.22 and 563.82

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Solution

The fourth proportional to 2,102.82, 3,154.22 and 563.82 is: 845.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.82 : 3,154.22 = 563.82 : x
  2. Step 2: Convert to fraction form
    2,102.82/3,154.22 = 563.82/x
  3. Step 3: Cross multiply
    2,102.82x = 3,154.22 × 563.82
  4. Step 4: Simplify right side
    2,102.82x = 1,778,409.50
  5. Step 5: Solve for x
    x = 1,778,409.50/2,102.82
  6. Step 6: Final answer
    x = 845.73

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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.