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Finding the Fourth Proportional to 2,183.96, 3,270.86 and 1,597.50

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Solution

The fourth proportional to 2,183.96, 3,270.86 and 1,597.50 is: 2,392.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.96 : 3,270.86 = 1,597.50 : x
  2. Step 2: Convert to fraction form
    2,183.96/3,270.86 = 1,597.50/x
  3. Step 3: Cross multiply
    2,183.96x = 3,270.86 × 1,597.50
  4. Step 4: Simplify right side
    2,183.96x = 5,225,190.86
  5. Step 5: Solve for x
    x = 5,225,190.86/2,183.96
  6. Step 6: Final answer
    x = 2,392.53

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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.