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Finding the Fourth Proportional to 3,494.63, 4,822.68 and 1,922.82

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Solution

The fourth proportional to 3,494.63, 4,822.68 and 1,922.82 is: 2,653.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.63 : 4,822.68 = 1,922.82 : x
  2. Step 2: Convert to fraction form
    3,494.63/4,822.68 = 1,922.82/x
  3. Step 3: Cross multiply
    3,494.63x = 4,822.68 × 1,922.82
  4. Step 4: Simplify right side
    3,494.63x = 9,273,145.56
  5. Step 5: Solve for x
    x = 9,273,145.56/3,494.63
  6. Step 6: Final answer
    x = 2,653.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.