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Finding the Fourth Proportional to 2,053.51, 2,834.08 and 1,169.44

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Solution

The fourth proportional to 2,053.51, 2,834.08 and 1,169.44 is: 1,613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.51 : 2,834.08 = 1,169.44 : x
  2. Step 2: Convert to fraction form
    2,053.51/2,834.08 = 1,169.44/x
  3. Step 3: Cross multiply
    2,053.51x = 2,834.08 × 1,169.44
  4. Step 4: Simplify right side
    2,053.51x = 3,314,276.51
  5. Step 5: Solve for x
    x = 3,314,276.51/2,053.51
  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.