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Finding the Fourth Proportional to 2,142.77, 3,213.18 and 843.93

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Solution

The fourth proportional to 2,142.77, 3,213.18 and 843.93 is: 1,265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.77 : 3,213.18 = 843.93 : x
  2. Step 2: Convert to fraction form
    2,142.77/3,213.18 = 843.93/x
  3. Step 3: Cross multiply
    2,142.77x = 3,213.18 × 843.93
  4. Step 4: Simplify right side
    2,142.77x = 2,711,699.00
  5. Step 5: Solve for x
    x = 2,711,699.00/2,142.77
  6. Step 6: Final answer
    x = 1,265.51

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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.