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Finding the Fourth Proportional to 2,226.63, 3,072.70 and 1,269.71

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Solution

The fourth proportional to 2,226.63, 3,072.70 and 1,269.71 is: 1,752.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.63 : 3,072.70 = 1,269.71 : x
  2. Step 2: Convert to fraction form
    2,226.63/3,072.70 = 1,269.71/x
  3. Step 3: Cross multiply
    2,226.63x = 3,072.70 × 1,269.71
  4. Step 4: Simplify right side
    2,226.63x = 3,901,437.92
  5. Step 5: Solve for x
    x = 3,901,437.92/2,226.63
  6. Step 6: Final answer
    x = 1,752.17

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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.