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Finding the Fourth Proportional to 1,949.96, 2,690.18 and 1,202.62

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Solution

The fourth proportional to 1,949.96, 2,690.18 and 1,202.62 is: 1,659.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.96 : 2,690.18 = 1,202.62 : x
  2. Step 2: Convert to fraction form
    1,949.96/2,690.18 = 1,202.62/x
  3. Step 3: Cross multiply
    1,949.96x = 2,690.18 × 1,202.62
  4. Step 4: Simplify right side
    1,949.96x = 3,235,246.31
  5. Step 5: Solve for x
    x = 3,235,246.31/1,949.96
  6. Step 6: Final answer
    x = 1,659.14

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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.