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Finding the Fourth Proportional to 2,571.27, 3,549.23 and 1,827.40

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Solution

The fourth proportional to 2,571.27, 3,549.23 and 1,827.40 is: 2,522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.27 : 3,549.23 = 1,827.40 : x
  2. Step 2: Convert to fraction form
    2,571.27/3,549.23 = 1,827.40/x
  3. Step 3: Cross multiply
    2,571.27x = 3,549.23 × 1,827.40
  4. Step 4: Simplify right side
    2,571.27x = 6,485,844.89
  5. Step 5: Solve for x
    x = 6,485,844.89/2,571.27
  6. Step 6: Final answer
    x = 2,522.42

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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.