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Finding the Fourth Proportional to 2,735.88, 3,775.32 and 2,147.82

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Solution

The fourth proportional to 2,735.88, 3,775.32 and 2,147.82 is: 2,963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.88 : 3,775.32 = 2,147.82 : x
  2. Step 2: Convert to fraction form
    2,735.88/3,775.32 = 2,147.82/x
  3. Step 3: Cross multiply
    2,735.88x = 3,775.32 × 2,147.82
  4. Step 4: Simplify right side
    2,735.88x = 8,108,707.80
  5. Step 5: Solve for x
    x = 8,108,707.80/2,735.88
  6. Step 6: Final answer
    x = 2,963.84

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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.