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Finding the Fourth Proportional to 3,014.30, 4,518 and 1,164.47

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Solution

The fourth proportional to 3,014.30, 4,518 and 1,164.47 is: 1,745.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.30 : 4,518 = 1,164.47 : x
  2. Step 2: Convert to fraction form
    3,014.30/4,518 = 1,164.47/x
  3. Step 3: Cross multiply
    3,014.30x = 4,518 × 1,164.47
  4. Step 4: Simplify right side
    3,014.30x = 5,261,052.87
  5. Step 5: Solve for x
    x = 5,261,052.87/3,014.30
  6. Step 6: Final answer
    x = 1,745.37

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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.