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Finding the Fourth Proportional to 2,566.35, 3,540.91 and 1,571.27

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Solution

The fourth proportional to 2,566.35, 3,540.91 and 1,571.27 is: 2,167.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.35 : 3,540.91 = 1,571.27 : x
  2. Step 2: Convert to fraction form
    2,566.35/3,540.91 = 1,571.27/x
  3. Step 3: Cross multiply
    2,566.35x = 3,540.91 × 1,571.27
  4. Step 4: Simplify right side
    2,566.35x = 5,563,700.09
  5. Step 5: Solve for x
    x = 5,563,700.09/2,566.35
  6. Step 6: Final answer
    x = 2,167.94

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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.