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Finding the Fourth Proportional to 3,004.92, 4,148.70 and 1,943.20

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Solution

The fourth proportional to 3,004.92, 4,148.70 and 1,943.20 is: 2,682.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.92 : 4,148.70 = 1,943.20 : x
  2. Step 2: Convert to fraction form
    3,004.92/4,148.70 = 1,943.20/x
  3. Step 3: Cross multiply
    3,004.92x = 4,148.70 × 1,943.20
  4. Step 4: Simplify right side
    3,004.92x = 8,061,723.38
  5. Step 5: Solve for x
    x = 8,061,723.38/3,004.92
  6. Step 6: Final answer
    x = 2,682.84

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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.