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Finding the Fourth Proportional to 2,273.77, 3,407.36 and 1,232.89

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Solution

The fourth proportional to 2,273.77, 3,407.36 and 1,232.89 is: 1,847.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.77 : 3,407.36 = 1,232.89 : x
  2. Step 2: Convert to fraction form
    2,273.77/3,407.36 = 1,232.89/x
  3. Step 3: Cross multiply
    2,273.77x = 3,407.36 × 1,232.89
  4. Step 4: Simplify right side
    2,273.77x = 4,200,893.91
  5. Step 5: Solve for x
    x = 4,200,893.91/2,273.77
  6. Step 6: Final answer
    x = 1,847.55

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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.