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Finding the Fourth Proportional to 2,261.12, 3,391.86 and 617.66

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Solution

The fourth proportional to 2,261.12, 3,391.86 and 617.66 is: 926.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.12 : 3,391.86 = 617.66 : x
  2. Step 2: Convert to fraction form
    2,261.12/3,391.86 = 617.66/x
  3. Step 3: Cross multiply
    2,261.12x = 3,391.86 × 617.66
  4. Step 4: Simplify right side
    2,261.12x = 2,095,016.25
  5. Step 5: Solve for x
    x = 2,095,016.25/2,261.12
  6. Step 6: Final answer
    x = 926.54

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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.