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Finding the Fourth Proportional to 2,226.84, 3,072.76 and 1,232.08

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Solution

The fourth proportional to 2,226.84, 3,072.76 and 1,232.08 is: 1,700.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.84 : 3,072.76 = 1,232.08 : x
  2. Step 2: Convert to fraction form
    2,226.84/3,072.76 = 1,232.08/x
  3. Step 3: Cross multiply
    2,226.84x = 3,072.76 × 1,232.08
  4. Step 4: Simplify right side
    2,226.84x = 3,785,886.14
  5. Step 5: Solve for x
    x = 3,785,886.14/2,226.84
  6. Step 6: Final answer
    x = 1,700.12

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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.