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Finding the Fourth Proportional to 3,494.86, 4,822.94 and 1,922.96

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Solution

The fourth proportional to 3,494.86, 4,822.94 and 1,922.96 is: 2,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.86 : 4,822.94 = 1,922.96 : x
  2. Step 2: Convert to fraction form
    3,494.86/4,822.94 = 1,922.96/x
  3. Step 3: Cross multiply
    3,494.86x = 4,822.94 × 1,922.96
  4. Step 4: Simplify right side
    3,494.86x = 9,274,320.70
  5. Step 5: Solve for x
    x = 9,274,320.70/3,494.86
  6. Step 6: Final answer
    x = 2,653.70

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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.