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Finding the Fourth Proportional to 2,157, 3,234.82 and 1,430.43

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Solution

The fourth proportional to 2,157, 3,234.82 and 1,430.43 is: 2,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157 : 3,234.82 = 1,430.43 : x
  2. Step 2: Convert to fraction form
    2,157/3,234.82 = 1,430.43/x
  3. Step 3: Cross multiply
    2,157x = 3,234.82 × 1,430.43
  4. Step 4: Simplify right side
    2,157x = 4,627,183.57
  5. Step 5: Solve for x
    x = 4,627,183.57/2,157
  6. Step 6: Final answer
    x = 2,145.19

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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.