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Finding the Fourth Proportional to 1,369.47, 2,054.21 and 1,163.55

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Solution

The fourth proportional to 1,369.47, 2,054.21 and 1,163.55 is: 1,745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.47 : 2,054.21 = 1,163.55 : x
  2. Step 2: Convert to fraction form
    1,369.47/2,054.21 = 1,163.55/x
  3. Step 3: Cross multiply
    1,369.47x = 2,054.21 × 1,163.55
  4. Step 4: Simplify right side
    1,369.47x = 2,390,170.23
  5. Step 5: Solve for x
    x = 2,390,170.23/1,369.47
  6. Step 6: Final answer
    x = 1,745.33

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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.