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Finding the Fourth Proportional to 2,773.94, 4,160.46 and 825.69

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Solution

The fourth proportional to 2,773.94, 4,160.46 and 825.69 is: 1,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.94 : 4,160.46 = 825.69 : x
  2. Step 2: Convert to fraction form
    2,773.94/4,160.46 = 825.69/x
  3. Step 3: Cross multiply
    2,773.94x = 4,160.46 × 825.69
  4. Step 4: Simplify right side
    2,773.94x = 3,435,246.09
  5. Step 5: Solve for x
    x = 3,435,246.09/2,773.94
  6. Step 6: Final answer
    x = 1,238.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.