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Finding the Fourth Proportional to 2,771.33, 3,824.20 and 1,592.15

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Solution

The fourth proportional to 2,771.33, 3,824.20 and 1,592.15 is: 2,197.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.33 : 3,824.20 = 1,592.15 : x
  2. Step 2: Convert to fraction form
    2,771.33/3,824.20 = 1,592.15/x
  3. Step 3: Cross multiply
    2,771.33x = 3,824.20 × 1,592.15
  4. Step 4: Simplify right side
    2,771.33x = 6,088,700.03
  5. Step 5: Solve for x
    x = 6,088,700.03/2,771.33
  6. Step 6: Final answer
    x = 2,197.03

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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.