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Finding the Fourth Proportional to 2,353.24, 3,530.54 and 793.36

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Solution

The fourth proportional to 2,353.24, 3,530.54 and 793.36 is: 1,190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.24 : 3,530.54 = 793.36 : x
  2. Step 2: Convert to fraction form
    2,353.24/3,530.54 = 793.36/x
  3. Step 3: Cross multiply
    2,353.24x = 3,530.54 × 793.36
  4. Step 4: Simplify right side
    2,353.24x = 2,800,989.21
  5. Step 5: Solve for x
    x = 2,800,989.21/2,353.24
  6. Step 6: Final answer
    x = 1,190.27

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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.