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Finding the Fourth Proportional to 3,182.09, 4,390.89 and 1,922.94

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Solution

The fourth proportional to 3,182.09, 4,390.89 and 1,922.94 is: 2,653.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.09 : 4,390.89 = 1,922.94 : x
  2. Step 2: Convert to fraction form
    3,182.09/4,390.89 = 1,922.94/x
  3. Step 3: Cross multiply
    3,182.09x = 4,390.89 × 1,922.94
  4. Step 4: Simplify right side
    3,182.09x = 8,443,418.02
  5. Step 5: Solve for x
    x = 8,443,418.02/3,182.09
  6. Step 6: Final answer
    x = 2,653.42

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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.