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Finding the Fourth Proportional to 3,840.55, 5,760.77 and 1,243.49

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Solution

The fourth proportional to 3,840.55, 5,760.77 and 1,243.49 is: 1,865.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.55 : 5,760.77 = 1,243.49 : x
  2. Step 2: Convert to fraction form
    3,840.55/5,760.77 = 1,243.49/x
  3. Step 3: Cross multiply
    3,840.55x = 5,760.77 × 1,243.49
  4. Step 4: Simplify right side
    3,840.55x = 7,163,424.87
  5. Step 5: Solve for x
    x = 7,163,424.87/3,840.55
  6. Step 6: Final answer
    x = 1,865.21

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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.