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Finding the Fourth Proportional to 2,635.50, 3,637.05 and 1,705.62

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Solution

The fourth proportional to 2,635.50, 3,637.05 and 1,705.62 is: 2,353.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.50 : 3,637.05 = 1,705.62 : x
  2. Step 2: Convert to fraction form
    2,635.50/3,637.05 = 1,705.62/x
  3. Step 3: Cross multiply
    2,635.50x = 3,637.05 × 1,705.62
  4. Step 4: Simplify right side
    2,635.50x = 6,203,425.22
  5. Step 5: Solve for x
    x = 6,203,425.22/2,635.50
  6. Step 6: Final answer
    x = 2,353.79

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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.