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Finding the Fourth Proportional to 3,143.76, 4,338.24 and 1,727.40

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Solution

The fourth proportional to 3,143.76, 4,338.24 and 1,727.40 is: 2,383.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.76 : 4,338.24 = 1,727.40 : x
  2. Step 2: Convert to fraction form
    3,143.76/4,338.24 = 1,727.40/x
  3. Step 3: Cross multiply
    3,143.76x = 4,338.24 × 1,727.40
  4. Step 4: Simplify right side
    3,143.76x = 7,493,875.78
  5. Step 5: Solve for x
    x = 7,493,875.78/3,143.76
  6. Step 6: Final answer
    x = 2,383.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.