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Finding the Fourth Proportional to 3,004.92, 4,148.14 and 1,763

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Solution

The fourth proportional to 3,004.92, 4,148.14 and 1,763 is: 2,433.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.92 : 4,148.14 = 1,763 : x
  2. Step 2: Convert to fraction form
    3,004.92/4,148.14 = 1,763/x
  3. Step 3: Cross multiply
    3,004.92x = 4,148.14 × 1,763
  4. Step 4: Simplify right side
    3,004.92x = 7,313,170.82
  5. Step 5: Solve for x
    x = 7,313,170.82/3,004.92
  6. Step 6: Final answer
    x = 2,433.73

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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.