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Finding the Fourth Proportional to 2,627.78, 3,940.49 and 778.24

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Solution

The fourth proportional to 2,627.78, 3,940.49 and 778.24 is: 1,167.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.78 : 3,940.49 = 778.24 : x
  2. Step 2: Convert to fraction form
    2,627.78/3,940.49 = 778.24/x
  3. Step 3: Cross multiply
    2,627.78x = 3,940.49 × 778.24
  4. Step 4: Simplify right side
    2,627.78x = 3,066,653.81
  5. Step 5: Solve for x
    x = 3,066,653.81/2,627.78
  6. Step 6: Final answer
    x = 1,167.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.