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Finding the Fourth Proportional to 2,771.32, 3,823.50 and 1,591.54

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Solution

The fourth proportional to 2,771.32, 3,823.50 and 1,591.54 is: 2,195.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.32 : 3,823.50 = 1,591.54 : x
  2. Step 2: Convert to fraction form
    2,771.32/3,823.50 = 1,591.54/x
  3. Step 3: Cross multiply
    2,771.32x = 3,823.50 × 1,591.54
  4. Step 4: Simplify right side
    2,771.32x = 6,085,253.19
  5. Step 5: Solve for x
    x = 6,085,253.19/2,771.32
  6. Step 6: Final answer
    x = 2,195.80

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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.