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Finding the Fourth Proportional to 2,111.67, 3,166.29 and 1,563.71

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Solution

The fourth proportional to 2,111.67, 3,166.29 and 1,563.71 is: 2,344.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.67 : 3,166.29 = 1,563.71 : x
  2. Step 2: Convert to fraction form
    2,111.67/3,166.29 = 1,563.71/x
  3. Step 3: Cross multiply
    2,111.67x = 3,166.29 × 1,563.71
  4. Step 4: Simplify right side
    2,111.67x = 4,951,143.50
  5. Step 5: Solve for x
    x = 4,951,143.50/2,111.67
  6. Step 6: Final answer
    x = 2,344.66

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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.