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Finding the Fourth Proportional to 2,072.23, 2,859.23 and 1,233.68

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Solution

The fourth proportional to 2,072.23, 2,859.23 and 1,233.68 is: 1,702.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.23 : 2,859.23 = 1,233.68 : x
  2. Step 2: Convert to fraction form
    2,072.23/2,859.23 = 1,233.68/x
  3. Step 3: Cross multiply
    2,072.23x = 2,859.23 × 1,233.68
  4. Step 4: Simplify right side
    2,072.23x = 3,527,363.65
  5. Step 5: Solve for x
    x = 3,527,363.65/2,072.23
  6. Step 6: Final answer
    x = 1,702.21

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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.