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Finding the Fourth Proportional to 2,053.89, 2,834.37 and 1,169.66

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Solution

The fourth proportional to 2,053.89, 2,834.37 and 1,169.66 is: 1,614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.89 : 2,834.37 = 1,169.66 : x
  2. Step 2: Convert to fraction form
    2,053.89/2,834.37 = 1,169.66/x
  3. Step 3: Cross multiply
    2,053.89x = 2,834.37 × 1,169.66
  4. Step 4: Simplify right side
    2,053.89x = 3,315,256.30
  5. Step 5: Solve for x
    x = 3,315,256.30/2,053.89
  6. Step 6: Final answer
    x = 1,614.14

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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.