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Finding the Fourth Proportional to 2,833.39, 4,230.99 and 2,314.41

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Solution

The fourth proportional to 2,833.39, 4,230.99 and 2,314.41 is: 3,456.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.39 : 4,230.99 = 2,314.41 : x
  2. Step 2: Convert to fraction form
    2,833.39/4,230.99 = 2,314.41/x
  3. Step 3: Cross multiply
    2,833.39x = 4,230.99 × 2,314.41
  4. Step 4: Simplify right side
    2,833.39x = 9,792,233.99
  5. Step 5: Solve for x
    x = 9,792,233.99/2,833.39
  6. Step 6: Final answer
    x = 3,456.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.