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Finding the Fourth Proportional to 2,229.42, 3,076.50 and 1,234.68

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Solution

The fourth proportional to 2,229.42, 3,076.50 and 1,234.68 is: 1,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.42 : 3,076.50 = 1,234.68 : x
  2. Step 2: Convert to fraction form
    2,229.42/3,076.50 = 1,234.68/x
  3. Step 3: Cross multiply
    2,229.42x = 3,076.50 × 1,234.68
  4. Step 4: Simplify right side
    2,229.42x = 3,798,493.02
  5. Step 5: Solve for x
    x = 3,798,493.02/2,229.42
  6. Step 6: Final answer
    x = 1,703.80

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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.