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Finding the Fourth Proportional to 2,122.97, 2,929.70 and 1,226.63

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Solution

The fourth proportional to 2,122.97, 2,929.70 and 1,226.63 is: 1,692.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.97 : 2,929.70 = 1,226.63 : x
  2. Step 2: Convert to fraction form
    2,122.97/2,929.70 = 1,226.63/x
  3. Step 3: Cross multiply
    2,122.97x = 2,929.70 × 1,226.63
  4. Step 4: Simplify right side
    2,122.97x = 3,593,668.30
  5. Step 5: Solve for x
    x = 3,593,668.30/2,122.97
  6. Step 6: Final answer
    x = 1,692.76

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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.