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Finding the Fourth Proportional to 2,693.65, 4,042.49 and 1,233.82

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Solution

The fourth proportional to 2,693.65, 4,042.49 and 1,233.82 is: 1,851.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.65 : 4,042.49 = 1,233.82 : x
  2. Step 2: Convert to fraction form
    2,693.65/4,042.49 = 1,233.82/x
  3. Step 3: Cross multiply
    2,693.65x = 4,042.49 × 1,233.82
  4. Step 4: Simplify right side
    2,693.65x = 4,987,705.01
  5. Step 5: Solve for x
    x = 4,987,705.01/2,693.65
  6. Step 6: Final answer
    x = 1,851.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.