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Finding the Fourth Proportional to 2,053.72, 2,834.08 and 1,169.56

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Solution

The fourth proportional to 2,053.72, 2,834.08 and 1,169.56 is: 1,613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.72 : 2,834.08 = 1,169.56 : x
  2. Step 2: Convert to fraction form
    2,053.72/2,834.08 = 1,169.56/x
  3. Step 3: Cross multiply
    2,053.72x = 2,834.08 × 1,169.56
  4. Step 4: Simplify right side
    2,053.72x = 3,314,626.60
  5. Step 5: Solve for x
    x = 3,314,626.60/2,053.72
  6. Step 6: Final answer
    x = 1,613.96

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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.