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Finding the Fourth Proportional to 2,137.69, 2,949.82 and 1,193.41

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Solution

The fourth proportional to 2,137.69, 2,949.82 and 1,193.41 is: 1,646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.69 : 2,949.82 = 1,193.41 : x
  2. Step 2: Convert to fraction form
    2,137.69/2,949.82 = 1,193.41/x
  3. Step 3: Cross multiply
    2,137.69x = 2,949.82 × 1,193.41
  4. Step 4: Simplify right side
    2,137.69x = 3,520,344.69
  5. Step 5: Solve for x
    x = 3,520,344.69/2,137.69
  6. Step 6: Final answer
    x = 1,646.80

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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.