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Finding the Fourth Proportional to 3,010.95, 4,513.70 and 1,163.30

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Solution

The fourth proportional to 3,010.95, 4,513.70 and 1,163.30 is: 1,743.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.95 : 4,513.70 = 1,163.30 : x
  2. Step 2: Convert to fraction form
    3,010.95/4,513.70 = 1,163.30/x
  3. Step 3: Cross multiply
    3,010.95x = 4,513.70 × 1,163.30
  4. Step 4: Simplify right side
    3,010.95x = 5,250,758.83
  5. Step 5: Solve for x
    x = 5,250,758.83/3,010.95
  6. Step 6: Final answer
    x = 1,743.89

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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.