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Finding the Fourth Proportional to 2,573.44, 3,858 and 1,273.12

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Solution

The fourth proportional to 2,573.44, 3,858 and 1,273.12 is: 1,908.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.44 : 3,858 = 1,273.12 : x
  2. Step 2: Convert to fraction form
    2,573.44/3,858 = 1,273.12/x
  3. Step 3: Cross multiply
    2,573.44x = 3,858 × 1,273.12
  4. Step 4: Simplify right side
    2,573.44x = 4,911,696.96
  5. Step 5: Solve for x
    x = 4,911,696.96/2,573.44
  6. Step 6: Final answer
    x = 1,908.61

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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.