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Finding the Fourth Proportional to 2,053.81, 2,834.55 and 1,169.69

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Solution

The fourth proportional to 2,053.81, 2,834.55 and 1,169.69 is: 1,614.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.81 : 2,834.55 = 1,169.69 : x
  2. Step 2: Convert to fraction form
    2,053.81/2,834.55 = 1,169.69/x
  3. Step 3: Cross multiply
    2,053.81x = 2,834.55 × 1,169.69
  4. Step 4: Simplify right side
    2,053.81x = 3,315,548.95
  5. Step 5: Solve for x
    x = 3,315,548.95/2,053.81
  6. Step 6: Final answer
    x = 1,614.34

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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.