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Finding the Fourth Proportional to 2,636.73, 3,638.40 and 1,705.23

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Solution

The fourth proportional to 2,636.73, 3,638.40 and 1,705.23 is: 2,353.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.73 : 3,638.40 = 1,705.23 : x
  2. Step 2: Convert to fraction form
    2,636.73/3,638.40 = 1,705.23/x
  3. Step 3: Cross multiply
    2,636.73x = 3,638.40 × 1,705.23
  4. Step 4: Simplify right side
    2,636.73x = 6,204,308.83
  5. Step 5: Solve for x
    x = 6,204,308.83/2,636.73
  6. Step 6: Final answer
    x = 2,353.03

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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.