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Finding the Fourth Proportional to 2,257.93, 3,387.41 and 941.91

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Solution

The fourth proportional to 2,257.93, 3,387.41 and 941.91 is: 1,413.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.93 : 3,387.41 = 941.91 : x
  2. Step 2: Convert to fraction form
    2,257.93/3,387.41 = 941.91/x
  3. Step 3: Cross multiply
    2,257.93x = 3,387.41 × 941.91
  4. Step 4: Simplify right side
    2,257.93x = 3,190,630.64
  5. Step 5: Solve for x
    x = 3,190,630.64/2,257.93
  6. Step 6: Final answer
    x = 1,413.08

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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.