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Finding the Fourth Proportional to 2,272.88, 3,410.44 and 1,177.22

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Solution

The fourth proportional to 2,272.88, 3,410.44 and 1,177.22 is: 1,766.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.88 : 3,410.44 = 1,177.22 : x
  2. Step 2: Convert to fraction form
    2,272.88/3,410.44 = 1,177.22/x
  3. Step 3: Cross multiply
    2,272.88x = 3,410.44 × 1,177.22
  4. Step 4: Simplify right side
    2,272.88x = 4,014,838.18
  5. Step 5: Solve for x
    x = 4,014,838.18/2,272.88
  6. Step 6: Final answer
    x = 1,766.41

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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.