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Finding the Fourth Proportional to 3,451.76, 4,763.28 and 1,879.82

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Solution

The fourth proportional to 3,451.76, 4,763.28 and 1,879.82 is: 2,594.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.76 : 4,763.28 = 1,879.82 : x
  2. Step 2: Convert to fraction form
    3,451.76/4,763.28 = 1,879.82/x
  3. Step 3: Cross multiply
    3,451.76x = 4,763.28 × 1,879.82
  4. Step 4: Simplify right side
    3,451.76x = 8,954,109.01
  5. Step 5: Solve for x
    x = 8,954,109.01/3,451.76
  6. Step 6: Final answer
    x = 2,594.07

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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.