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Finding the Fourth Proportional to 2,194.29, 3,024.98 and 1,354.44

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Solution

The fourth proportional to 2,194.29, 3,024.98 and 1,354.44 is: 1,867.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.29 : 3,024.98 = 1,354.44 : x
  2. Step 2: Convert to fraction form
    2,194.29/3,024.98 = 1,354.44/x
  3. Step 3: Cross multiply
    2,194.29x = 3,024.98 × 1,354.44
  4. Step 4: Simplify right side
    2,194.29x = 4,097,147.14
  5. Step 5: Solve for x
    x = 4,097,147.14/2,194.29
  6. Step 6: Final answer
    x = 1,867.19

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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.