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Finding the Fourth Proportional to 2,234.69, 3,083.62 and 1,239.95

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Solution

The fourth proportional to 2,234.69, 3,083.62 and 1,239.95 is: 1,710.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.69 : 3,083.62 = 1,239.95 : x
  2. Step 2: Convert to fraction form
    2,234.69/3,083.62 = 1,239.95/x
  3. Step 3: Cross multiply
    2,234.69x = 3,083.62 × 1,239.95
  4. Step 4: Simplify right side
    2,234.69x = 3,823,522.30
  5. Step 5: Solve for x
    x = 3,823,522.30/2,234.69
  6. Step 6: Final answer
    x = 1,710.99

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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.