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Finding the Fourth Proportional to 2,775.22, 3,829.82 and 1,516.25

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Solution

The fourth proportional to 2,775.22, 3,829.82 and 1,516.25 is: 2,092.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.22 : 3,829.82 = 1,516.25 : x
  2. Step 2: Convert to fraction form
    2,775.22/3,829.82 = 1,516.25/x
  3. Step 3: Cross multiply
    2,775.22x = 3,829.82 × 1,516.25
  4. Step 4: Simplify right side
    2,775.22x = 5,806,964.58
  5. Step 5: Solve for x
    x = 5,806,964.58/2,775.22
  6. Step 6: Final answer
    x = 2,092.43

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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.