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Finding the Fourth Proportional to 3,040.63, 4,558.46 and 959.33

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Solution

The fourth proportional to 3,040.63, 4,558.46 and 959.33 is: 1,438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.63 : 4,558.46 = 959.33 : x
  2. Step 2: Convert to fraction form
    3,040.63/4,558.46 = 959.33/x
  3. Step 3: Cross multiply
    3,040.63x = 4,558.46 × 959.33
  4. Step 4: Simplify right side
    3,040.63x = 4,373,067.43
  5. Step 5: Solve for x
    x = 4,373,067.43/3,040.63
  6. Step 6: Final answer
    x = 1,438.21

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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.