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Finding the Fourth Proportional to 2,771.96, 3,825.25 and 1,513.01

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Solution

The fourth proportional to 2,771.96, 3,825.25 and 1,513.01 is: 2,087.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.96 : 3,825.25 = 1,513.01 : x
  2. Step 2: Convert to fraction form
    2,771.96/3,825.25 = 1,513.01/x
  3. Step 3: Cross multiply
    2,771.96x = 3,825.25 × 1,513.01
  4. Step 4: Simplify right side
    2,771.96x = 5,787,647.28
  5. Step 5: Solve for x
    x = 5,787,647.28/2,771.96
  6. Step 6: Final answer
    x = 2,087.93

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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.