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Finding the Fourth Proportional to 2,911.88, 4,367.82 and 2,261.25

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Solution

The fourth proportional to 2,911.88, 4,367.82 and 2,261.25 is: 3,391.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.88 : 4,367.82 = 2,261.25 : x
  2. Step 2: Convert to fraction form
    2,911.88/4,367.82 = 2,261.25/x
  3. Step 3: Cross multiply
    2,911.88x = 4,367.82 × 2,261.25
  4. Step 4: Simplify right side
    2,911.88x = 9,876,741.45
  5. Step 5: Solve for x
    x = 9,876,741.45/2,911.88
  6. Step 6: Final answer
    x = 3,391.88

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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.