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Finding the Fourth Proportional to 2,778.25, 3,830.03 and 1,892.92

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Solution

The fourth proportional to 2,778.25, 3,830.03 and 1,892.92 is: 2,609.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.25 : 3,830.03 = 1,892.92 : x
  2. Step 2: Convert to fraction form
    2,778.25/3,830.03 = 1,892.92/x
  3. Step 3: Cross multiply
    2,778.25x = 3,830.03 × 1,892.92
  4. Step 4: Simplify right side
    2,778.25x = 7,249,940.39
  5. Step 5: Solve for x
    x = 7,249,940.39/2,778.25
  6. Step 6: Final answer
    x = 2,609.53

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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.