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Finding the Fourth Proportional to 2,771.18, 3,824.22 and 1,592.25

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Solution

The fourth proportional to 2,771.18, 3,824.22 and 1,592.25 is: 2,197.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.18 : 3,824.22 = 1,592.25 : x
  2. Step 2: Convert to fraction form
    2,771.18/3,824.22 = 1,592.25/x
  3. Step 3: Cross multiply
    2,771.18x = 3,824.22 × 1,592.25
  4. Step 4: Simplify right side
    2,771.18x = 6,089,114.30
  5. Step 5: Solve for x
    x = 6,089,114.30/2,771.18
  6. Step 6: Final answer
    x = 2,197.30

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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.