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Finding the Fourth Proportional to 2,635.88, 3,955.23 and 1,711.22

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Solution

The fourth proportional to 2,635.88, 3,955.23 and 1,711.22 is: 2,567.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.88 : 3,955.23 = 1,711.22 : x
  2. Step 2: Convert to fraction form
    2,635.88/3,955.23 = 1,711.22/x
  3. Step 3: Cross multiply
    2,635.88x = 3,955.23 × 1,711.22
  4. Step 4: Simplify right side
    2,635.88x = 6,768,268.68
  5. Step 5: Solve for x
    x = 6,768,268.68/2,635.88
  6. Step 6: Final answer
    x = 2,567.75

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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.