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Finding the Fourth Proportional to 2,772.79, 4,158.28 and 923.41

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Solution

The fourth proportional to 2,772.79, 4,158.28 and 923.41 is: 1,384.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.79 : 4,158.28 = 923.41 : x
  2. Step 2: Convert to fraction form
    2,772.79/4,158.28 = 923.41/x
  3. Step 3: Cross multiply
    2,772.79x = 4,158.28 × 923.41
  4. Step 4: Simplify right side
    2,772.79x = 3,839,797.33
  5. Step 5: Solve for x
    x = 3,839,797.33/2,772.79
  6. Step 6: Final answer
    x = 1,384.81

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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.