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Finding the Fourth Proportional to 2,496.42, 3,744.60 and 1,949.06

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Solution

The fourth proportional to 2,496.42, 3,744.60 and 1,949.06 is: 2,923.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.42 : 3,744.60 = 1,949.06 : x
  2. Step 2: Convert to fraction form
    2,496.42/3,744.60 = 1,949.06/x
  3. Step 3: Cross multiply
    2,496.42x = 3,744.60 × 1,949.06
  4. Step 4: Simplify right side
    2,496.42x = 7,298,431.35
  5. Step 5: Solve for x
    x = 7,298,431.35/2,496.42
  6. Step 6: Final answer
    x = 2,923.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.