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Finding the Fourth Proportional to 2,137.33, 3,204.88 and 966.77

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Solution

The fourth proportional to 2,137.33, 3,204.88 and 966.77 is: 1,449.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.33 : 3,204.88 = 966.77 : x
  2. Step 2: Convert to fraction form
    2,137.33/3,204.88 = 966.77/x
  3. Step 3: Cross multiply
    2,137.33x = 3,204.88 × 966.77
  4. Step 4: Simplify right side
    2,137.33x = 3,098,387.43
  5. Step 5: Solve for x
    x = 3,098,387.43/2,137.33
  6. Step 6: Final answer
    x = 1,449.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.