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Finding the Fourth Proportional to 2,517.72, 3,771.72 and 1,220.10

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Solution

The fourth proportional to 2,517.72, 3,771.72 and 1,220.10 is: 1,827.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.72 : 3,771.72 = 1,220.10 : x
  2. Step 2: Convert to fraction form
    2,517.72/3,771.72 = 1,220.10/x
  3. Step 3: Cross multiply
    2,517.72x = 3,771.72 × 1,220.10
  4. Step 4: Simplify right side
    2,517.72x = 4,601,875.57
  5. Step 5: Solve for x
    x = 4,601,875.57/2,517.72
  6. Step 6: Final answer
    x = 1,827.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.