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Finding the Fourth Proportional to 2,194.93, 3,029.72 and 1,747.62

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Solution

The fourth proportional to 2,194.93, 3,029.72 and 1,747.62 is: 2,412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.93 : 3,029.72 = 1,747.62 : x
  2. Step 2: Convert to fraction form
    2,194.93/3,029.72 = 1,747.62/x
  3. Step 3: Cross multiply
    2,194.93x = 3,029.72 × 1,747.62
  4. Step 4: Simplify right side
    2,194.93x = 5,294,799.27
  5. Step 5: Solve for x
    x = 5,294,799.27/2,194.93
  6. Step 6: Final answer
    x = 2,412.29

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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.