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Finding the Fourth Proportional to 2,063.15, 2,847.11 and 1,166.87

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Solution

The fourth proportional to 2,063.15, 2,847.11 and 1,166.87 is: 1,610.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.15 : 2,847.11 = 1,166.87 : x
  2. Step 2: Convert to fraction form
    2,063.15/2,847.11 = 1,166.87/x
  3. Step 3: Cross multiply
    2,063.15x = 2,847.11 × 1,166.87
  4. Step 4: Simplify right side
    2,063.15x = 3,322,207.25
  5. Step 5: Solve for x
    x = 3,322,207.25/2,063.15
  6. Step 6: Final answer
    x = 1,610.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.