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Finding the Fourth Proportional to 2,684, 3,703.92 and 1,635.84

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Solution

The fourth proportional to 2,684, 3,703.92 and 1,635.84 is: 2,257.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684 : 3,703.92 = 1,635.84 : x
  2. Step 2: Convert to fraction form
    2,684/3,703.92 = 1,635.84/x
  3. Step 3: Cross multiply
    2,684x = 3,703.92 × 1,635.84
  4. Step 4: Simplify right side
    2,684x = 6,059,020.49
  5. Step 5: Solve for x
    x = 6,059,020.49/2,684
  6. Step 6: Final answer
    x = 2,257.46

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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.