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Finding the Fourth Proportional to 2,274.06, 3,137.67 and 1,775.82

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Solution

The fourth proportional to 2,274.06, 3,137.67 and 1,775.82 is: 2,450.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.06 : 3,137.67 = 1,775.82 : x
  2. Step 2: Convert to fraction form
    2,274.06/3,137.67 = 1,775.82/x
  3. Step 3: Cross multiply
    2,274.06x = 3,137.67 × 1,775.82
  4. Step 4: Simplify right side
    2,274.06x = 5,571,937.14
  5. Step 5: Solve for x
    x = 5,571,937.14/2,274.06
  6. Step 6: Final answer
    x = 2,450.22

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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.