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Finding the Fourth Proportional to 2,229.40, 3,076.54 and 1,234.68

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Solution

The fourth proportional to 2,229.40, 3,076.54 and 1,234.68 is: 1,703.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.40 : 3,076.54 = 1,234.68 : x
  2. Step 2: Convert to fraction form
    2,229.40/3,076.54 = 1,234.68/x
  3. Step 3: Cross multiply
    2,229.40x = 3,076.54 × 1,234.68
  4. Step 4: Simplify right side
    2,229.40x = 3,798,542.41
  5. Step 5: Solve for x
    x = 3,798,542.41/2,229.40
  6. Step 6: Final answer
    x = 1,703.84

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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.