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Finding the Fourth Proportional to 2,747.67, 3,792.34 and 1,685.41

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Solution

The fourth proportional to 2,747.67, 3,792.34 and 1,685.41 is: 2,326.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.67 : 3,792.34 = 1,685.41 : x
  2. Step 2: Convert to fraction form
    2,747.67/3,792.34 = 1,685.41/x
  3. Step 3: Cross multiply
    2,747.67x = 3,792.34 × 1,685.41
  4. Step 4: Simplify right side
    2,747.67x = 6,391,647.76
  5. Step 5: Solve for x
    x = 6,391,647.76/2,747.67
  6. Step 6: Final answer
    x = 2,326.21

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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.