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Finding the Fourth Proportional to 2,771.96, 3,825.27 and 1,513.02

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Solution

The fourth proportional to 2,771.96, 3,825.27 and 1,513.02 is: 2,087.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.96 : 3,825.27 = 1,513.02 : x
  2. Step 2: Convert to fraction form
    2,771.96/3,825.27 = 1,513.02/x
  3. Step 3: Cross multiply
    2,771.96x = 3,825.27 × 1,513.02
  4. Step 4: Simplify right side
    2,771.96x = 5,787,710.02
  5. Step 5: Solve for x
    x = 5,787,710.02/2,771.96
  6. Step 6: Final answer
    x = 2,087.95

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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.