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Finding the Fourth Proportional to 2,771.81, 3,825.87 and 1,593.26

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Solution

The fourth proportional to 2,771.81, 3,825.87 and 1,593.26 is: 2,199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.81 : 3,825.87 = 1,593.26 : x
  2. Step 2: Convert to fraction form
    2,771.81/3,825.87 = 1,593.26/x
  3. Step 3: Cross multiply
    2,771.81x = 3,825.87 × 1,593.26
  4. Step 4: Simplify right side
    2,771.81x = 6,095,605.64
  5. Step 5: Solve for x
    x = 6,095,605.64/2,771.81
  6. Step 6: Final answer
    x = 2,199.14

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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.