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Finding the Fourth Proportional to 2,775.55, 3,830.26 and 1,516.61

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Solution

The fourth proportional to 2,775.55, 3,830.26 and 1,516.61 is: 2,092.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.55 : 3,830.26 = 1,516.61 : x
  2. Step 2: Convert to fraction form
    2,775.55/3,830.26 = 1,516.61/x
  3. Step 3: Cross multiply
    2,775.55x = 3,830.26 × 1,516.61
  4. Step 4: Simplify right side
    2,775.55x = 5,809,010.62
  5. Step 5: Solve for x
    x = 5,809,010.62/2,775.55
  6. Step 6: Final answer
    x = 2,092.92

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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.