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Finding the Fourth Proportional to 3,111.47, 4,667.05 and 1,163.53

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Solution

The fourth proportional to 3,111.47, 4,667.05 and 1,163.53 is: 1,745.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.47 : 4,667.05 = 1,163.53 : x
  2. Step 2: Convert to fraction form
    3,111.47/4,667.05 = 1,163.53/x
  3. Step 3: Cross multiply
    3,111.47x = 4,667.05 × 1,163.53
  4. Step 4: Simplify right side
    3,111.47x = 5,430,252.69
  5. Step 5: Solve for x
    x = 5,430,252.69/3,111.47
  6. Step 6: Final answer
    x = 1,745.24

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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.