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Finding the Fourth Proportional to 2,395.72, 3,592.24 and 1,163.08

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Solution

The fourth proportional to 2,395.72, 3,592.24 and 1,163.08 is: 1,743.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.72 : 3,592.24 = 1,163.08 : x
  2. Step 2: Convert to fraction form
    2,395.72/3,592.24 = 1,163.08/x
  3. Step 3: Cross multiply
    2,395.72x = 3,592.24 × 1,163.08
  4. Step 4: Simplify right side
    2,395.72x = 4,178,062.50
  5. Step 5: Solve for x
    x = 4,178,062.50/2,395.72
  6. Step 6: Final answer
    x = 1,743.97

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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.