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Finding the Fourth Proportional to 2,775.05, 3,829.78 and 1,516.17

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Solution

The fourth proportional to 2,775.05, 3,829.78 and 1,516.17 is: 2,092.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.05 : 3,829.78 = 1,516.17 : x
  2. Step 2: Convert to fraction form
    2,775.05/3,829.78 = 1,516.17/x
  3. Step 3: Cross multiply
    2,775.05x = 3,829.78 × 1,516.17
  4. Step 4: Simplify right side
    2,775.05x = 5,806,597.54
  5. Step 5: Solve for x
    x = 5,806,597.54/2,775.05
  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.