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Finding the Fourth Proportional to 2,741.84, 4,131.28 and 2,265.56

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Solution

The fourth proportional to 2,741.84, 4,131.28 and 2,265.56 is: 3,413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.84 : 4,131.28 = 2,265.56 : x
  2. Step 2: Convert to fraction form
    2,741.84/4,131.28 = 2,265.56/x
  3. Step 3: Cross multiply
    2,741.84x = 4,131.28 × 2,265.56
  4. Step 4: Simplify right side
    2,741.84x = 9,359,662.72
  5. Step 5: Solve for x
    x = 9,359,662.72/2,741.84
  6. Step 6: Final answer
    x = 3,413.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.