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Finding the Fourth Proportional to 2,234.71, 3,083.82 and 1,240.03

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Solution

The fourth proportional to 2,234.71, 3,083.82 and 1,240.03 is: 1,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.71 : 3,083.82 = 1,240.03 : x
  2. Step 2: Convert to fraction form
    2,234.71/3,083.82 = 1,240.03/x
  3. Step 3: Cross multiply
    2,234.71x = 3,083.82 × 1,240.03
  4. Step 4: Simplify right side
    2,234.71x = 3,824,029.31
  5. Step 5: Solve for x
    x = 3,824,029.31/2,234.71
  6. Step 6: Final answer
    x = 1,711.20

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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.