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Finding the Fourth Proportional to 2,594.73, 3,889.02 and 1,361.47

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Solution

The fourth proportional to 2,594.73, 3,889.02 and 1,361.47 is: 2,040.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.73 : 3,889.02 = 1,361.47 : x
  2. Step 2: Convert to fraction form
    2,594.73/3,889.02 = 1,361.47/x
  3. Step 3: Cross multiply
    2,594.73x = 3,889.02 × 1,361.47
  4. Step 4: Simplify right side
    2,594.73x = 5,294,784.06
  5. Step 5: Solve for x
    x = 5,294,784.06/2,594.73
  6. Step 6: Final answer
    x = 2,040.59

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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.