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Finding the Fourth Proportional to 2,229.58, 3,076.95 and 1,234.83

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Solution

The fourth proportional to 2,229.58, 3,076.95 and 1,234.83 is: 1,704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.58 : 3,076.95 = 1,234.83 : x
  2. Step 2: Convert to fraction form
    2,229.58/3,076.95 = 1,234.83/x
  3. Step 3: Cross multiply
    2,229.58x = 3,076.95 × 1,234.83
  4. Step 4: Simplify right side
    2,229.58x = 3,799,510.17
  5. Step 5: Solve for x
    x = 3,799,510.17/2,229.58
  6. Step 6: Final answer
    x = 1,704.14

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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.