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Finding the Fourth Proportional to 2,054.12, 2,834.66 and 1,169.97

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Solution

The fourth proportional to 2,054.12, 2,834.66 and 1,169.97 is: 1,614.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.12 : 2,834.66 = 1,169.97 : x
  2. Step 2: Convert to fraction form
    2,054.12/2,834.66 = 1,169.97/x
  3. Step 3: Cross multiply
    2,054.12x = 2,834.66 × 1,169.97
  4. Step 4: Simplify right side
    2,054.12x = 3,316,461.31
  5. Step 5: Solve for x
    x = 3,316,461.31/2,054.12
  6. Step 6: Final answer
    x = 1,614.55

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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.