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Finding the Fourth Proportional to 2,234.74, 3,083.95 and 1,240.02

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Solution

The fourth proportional to 2,234.74, 3,083.95 and 1,240.02 is: 1,711.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.74 : 3,083.95 = 1,240.02 : x
  2. Step 2: Convert to fraction form
    2,234.74/3,083.95 = 1,240.02/x
  3. Step 3: Cross multiply
    2,234.74x = 3,083.95 × 1,240.02
  4. Step 4: Simplify right side
    2,234.74x = 3,824,144.26
  5. Step 5: Solve for x
    x = 3,824,144.26/2,234.74
  6. Step 6: Final answer
    x = 1,711.23

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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.