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Finding the Fourth Proportional to 2,063.08, 2,847.19 and 1,166.51

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Solution

The fourth proportional to 2,063.08, 2,847.19 and 1,166.51 is: 1,609.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.08 : 2,847.19 = 1,166.51 : x
  2. Step 2: Convert to fraction form
    2,063.08/2,847.19 = 1,166.51/x
  3. Step 3: Cross multiply
    2,063.08x = 2,847.19 × 1,166.51
  4. Step 4: Simplify right side
    2,063.08x = 3,321,275.61
  5. Step 5: Solve for x
    x = 3,321,275.61/2,063.08
  6. Step 6: Final answer
    x = 1,609.86

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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.