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Finding the Fourth Proportional to 2,662.81, 3,994.03 and 1,019.53

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Solution

The fourth proportional to 2,662.81, 3,994.03 and 1,019.53 is: 1,529.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.81 : 3,994.03 = 1,019.53 : x
  2. Step 2: Convert to fraction form
    2,662.81/3,994.03 = 1,019.53/x
  3. Step 3: Cross multiply
    2,662.81x = 3,994.03 × 1,019.53
  4. Step 4: Simplify right side
    2,662.81x = 4,072,033.41
  5. Step 5: Solve for x
    x = 4,072,033.41/2,662.81
  6. Step 6: Final answer
    x = 1,529.22

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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.