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Finding the Fourth Proportional to 2,226.70, 3,072.90 and 1,232.04

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Solution

The fourth proportional to 2,226.70, 3,072.90 and 1,232.04 is: 1,700.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.70 : 3,072.90 = 1,232.04 : x
  2. Step 2: Convert to fraction form
    2,226.70/3,072.90 = 1,232.04/x
  3. Step 3: Cross multiply
    2,226.70x = 3,072.90 × 1,232.04
  4. Step 4: Simplify right side
    2,226.70x = 3,785,935.72
  5. Step 5: Solve for x
    x = 3,785,935.72/2,226.70
  6. Step 6: Final answer
    x = 1,700.25

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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.