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Finding the Fourth Proportional to 2,053.69, 2,834.10 and 1,169.49

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Solution

The fourth proportional to 2,053.69, 2,834.10 and 1,169.49 is: 1,613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.69 : 2,834.10 = 1,169.49 : x
  2. Step 2: Convert to fraction form
    2,053.69/2,834.10 = 1,169.49/x
  3. Step 3: Cross multiply
    2,053.69x = 2,834.10 × 1,169.49
  4. Step 4: Simplify right side
    2,053.69x = 3,314,451.61
  5. Step 5: Solve for x
    x = 3,314,451.61/2,053.69
  6. Step 6: Final answer
    x = 1,613.90

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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.