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Finding the Fourth Proportional to 3,013.46, 4,520.87 and 1,164.59

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Solution

The fourth proportional to 3,013.46, 4,520.87 and 1,164.59 is: 1,747.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.46 : 4,520.87 = 1,164.59 : x
  2. Step 2: Convert to fraction form
    3,013.46/4,520.87 = 1,164.59/x
  3. Step 3: Cross multiply
    3,013.46x = 4,520.87 × 1,164.59
  4. Step 4: Simplify right side
    3,013.46x = 5,264,940.30
  5. Step 5: Solve for x
    x = 5,264,940.30/3,013.46
  6. Step 6: Final answer
    x = 1,747.14

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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.