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Finding the Fourth Proportional to 3,048.48, 4,206.96 and 1,789.92

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Solution

The fourth proportional to 3,048.48, 4,206.96 and 1,789.92 is: 2,470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.48 : 4,206.96 = 1,789.92 : x
  2. Step 2: Convert to fraction form
    3,048.48/4,206.96 = 1,789.92/x
  3. Step 3: Cross multiply
    3,048.48x = 4,206.96 × 1,789.92
  4. Step 4: Simplify right side
    3,048.48x = 7,530,121.84
  5. Step 5: Solve for x
    x = 7,530,121.84/3,048.48
  6. Step 6: Final answer
    x = 2,470.12

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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.