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Finding the Fourth Proportional to 2,771.76, 3,826.26 and 1,724.52

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Solution

The fourth proportional to 2,771.76, 3,826.26 and 1,724.52 is: 2,380.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.76 : 3,826.26 = 1,724.52 : x
  2. Step 2: Convert to fraction form
    2,771.76/3,826.26 = 1,724.52/x
  3. Step 3: Cross multiply
    2,771.76x = 3,826.26 × 1,724.52
  4. Step 4: Simplify right side
    2,771.76x = 6,598,461.90
  5. Step 5: Solve for x
    x = 6,598,461.90/2,771.76
  6. Step 6: Final answer
    x = 2,380.60

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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.