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Finding the Fourth Proportional to 2,774.81, 3,825.48 and 2,177.94

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Solution

The fourth proportional to 2,774.81, 3,825.48 and 2,177.94 is: 3,002.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.81 : 3,825.48 = 2,177.94 : x
  2. Step 2: Convert to fraction form
    2,774.81/3,825.48 = 2,177.94/x
  3. Step 3: Cross multiply
    2,774.81x = 3,825.48 × 2,177.94
  4. Step 4: Simplify right side
    2,774.81x = 8,331,665.91
  5. Step 5: Solve for x
    x = 8,331,665.91/2,774.81
  6. Step 6: Final answer
    x = 3,002.61

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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.