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Finding the Fourth Proportional to 3,451, 4,761.90 and 2,054.52

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Solution

The fourth proportional to 3,451, 4,761.90 and 2,054.52 is: 2,834.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451 : 4,761.90 = 2,054.52 : x
  2. Step 2: Convert to fraction form
    3,451/4,761.90 = 2,054.52/x
  3. Step 3: Cross multiply
    3,451x = 4,761.90 × 2,054.52
  4. Step 4: Simplify right side
    3,451x = 9,783,418.79
  5. Step 5: Solve for x
    x = 9,783,418.79/3,451
  6. Step 6: Final answer
    x = 2,834.95

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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.