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Finding the Fourth Proportional to 1,426.44, 1,964.52 and 1,229.88

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Solution

The fourth proportional to 1,426.44, 1,964.52 and 1,229.88 is: 1,693.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.44 : 1,964.52 = 1,229.88 : x
  2. Step 2: Convert to fraction form
    1,426.44/1,964.52 = 1,229.88/x
  3. Step 3: Cross multiply
    1,426.44x = 1,964.52 × 1,229.88
  4. Step 4: Simplify right side
    1,426.44x = 2,416,123.86
  5. Step 5: Solve for x
    x = 2,416,123.86/1,426.44
  6. Step 6: Final answer
    x = 1,693.81

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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.