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Finding the Fourth Proportional to 3,078.69, 4,244.16 and 2,192.96

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Solution

The fourth proportional to 3,078.69, 4,244.16 and 2,192.96 is: 3,023.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.69 : 4,244.16 = 2,192.96 : x
  2. Step 2: Convert to fraction form
    3,078.69/4,244.16 = 2,192.96/x
  3. Step 3: Cross multiply
    3,078.69x = 4,244.16 × 2,192.96
  4. Step 4: Simplify right side
    3,078.69x = 9,307,268.07
  5. Step 5: Solve for x
    x = 9,307,268.07/3,078.69
  6. Step 6: Final answer
    x = 3,023.12

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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.