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Finding the Fourth Proportional to 3,014.46, 4,519.53 and 1,164.03

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Solution

The fourth proportional to 3,014.46, 4,519.53 and 1,164.03 is: 1,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.46 : 4,519.53 = 1,164.03 : x
  2. Step 2: Convert to fraction form
    3,014.46/4,519.53 = 1,164.03/x
  3. Step 3: Cross multiply
    3,014.46x = 4,519.53 × 1,164.03
  4. Step 4: Simplify right side
    3,014.46x = 5,260,868.51
  5. Step 5: Solve for x
    x = 5,260,868.51/3,014.46
  6. Step 6: Final answer
    x = 1,745.21

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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.