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Finding the Fourth Proportional to 3,163.01, 4,743.57 and 942.00

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Solution

The fourth proportional to 3,163.01, 4,743.57 and 942.00 is: 1,412.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.01 : 4,743.57 = 942.00 : x
  2. Step 2: Convert to fraction form
    3,163.01/4,743.57 = 942.00/x
  3. Step 3: Cross multiply
    3,163.01x = 4,743.57 × 942.00
  4. Step 4: Simplify right side
    3,163.01x = 4,468,464.07
  5. Step 5: Solve for x
    x = 4,468,464.07/3,163.01
  6. Step 6: Final answer
    x = 1,412.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.