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Finding the Fourth Proportional to 1,786.21, 2,464.99 and 989.56

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Solution

The fourth proportional to 1,786.21, 2,464.99 and 989.56 is: 1,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.21 : 2,464.99 = 989.56 : x
  2. Step 2: Convert to fraction form
    1,786.21/2,464.99 = 989.56/x
  3. Step 3: Cross multiply
    1,786.21x = 2,464.99 × 989.56
  4. Step 4: Simplify right side
    1,786.21x = 2,439,246.87
  5. Step 5: Solve for x
    x = 2,439,246.87/1,786.21
  6. Step 6: Final answer
    x = 1,365.60

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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.