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Finding the Fourth Proportional to 1,906.26, 2,630.19 and 1,160.21

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Solution

The fourth proportional to 1,906.26, 2,630.19 and 1,160.21 is: 1,600.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.26 : 2,630.19 = 1,160.21 : x
  2. Step 2: Convert to fraction form
    1,906.26/2,630.19 = 1,160.21/x
  3. Step 3: Cross multiply
    1,906.26x = 2,630.19 × 1,160.21
  4. Step 4: Simplify right side
    1,906.26x = 3,051,566.94
  5. Step 5: Solve for x
    x = 3,051,566.94/1,906.26
  6. Step 6: Final answer
    x = 1,600.81

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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.