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Finding the Fourth Proportional to 2,775.78, 4,180.31 and 2,339.75

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Solution

The fourth proportional to 2,775.78, 4,180.31 and 2,339.75 is: 3,523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.78 : 4,180.31 = 2,339.75 : x
  2. Step 2: Convert to fraction form
    2,775.78/4,180.31 = 2,339.75/x
  3. Step 3: Cross multiply
    2,775.78x = 4,180.31 × 2,339.75
  4. Step 4: Simplify right side
    2,775.78x = 9,780,847.72
  5. Step 5: Solve for x
    x = 9,780,847.72/2,775.78
  6. Step 6: Final answer
    x = 3,523.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.