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Finding the Fourth Proportional to 2,137.46, 2,949.33 and 1,193.21

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Solution

The fourth proportional to 2,137.46, 2,949.33 and 1,193.21 is: 1,646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.46 : 2,949.33 = 1,193.21 : x
  2. Step 2: Convert to fraction form
    2,137.46/2,949.33 = 1,193.21/x
  3. Step 3: Cross multiply
    2,137.46x = 2,949.33 × 1,193.21
  4. Step 4: Simplify right side
    2,137.46x = 3,519,156.79
  5. Step 5: Solve for x
    x = 3,519,156.79/2,137.46
  6. Step 6: Final answer
    x = 1,646.42

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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.