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Finding the Fourth Proportional to 2,273.84, 3,137.63 and 1,279.07

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Solution

The fourth proportional to 2,273.84, 3,137.63 and 1,279.07 is: 1,764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.84 : 3,137.63 = 1,279.07 : x
  2. Step 2: Convert to fraction form
    2,273.84/3,137.63 = 1,279.07/x
  3. Step 3: Cross multiply
    2,273.84x = 3,137.63 × 1,279.07
  4. Step 4: Simplify right side
    2,273.84x = 4,013,226.32
  5. Step 5: Solve for x
    x = 4,013,226.32/2,273.84
  6. Step 6: Final answer
    x = 1,764.96

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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.