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Finding the Fourth Proportional to 2,199.93, 3,294.64 and 1,273.56

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Solution

The fourth proportional to 2,199.93, 3,294.64 and 1,273.56 is: 1,907.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.93 : 3,294.64 = 1,273.56 : x
  2. Step 2: Convert to fraction form
    2,199.93/3,294.64 = 1,273.56/x
  3. Step 3: Cross multiply
    2,199.93x = 3,294.64 × 1,273.56
  4. Step 4: Simplify right side
    2,199.93x = 4,195,921.72
  5. Step 5: Solve for x
    x = 4,195,921.72/2,199.93
  6. Step 6: Final answer
    x = 1,907.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.