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Finding the Fourth Proportional to 2,015.94, 3,024.48 and 845.33

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Solution

The fourth proportional to 2,015.94, 3,024.48 and 845.33 is: 1,268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.94 : 3,024.48 = 845.33 : x
  2. Step 2: Convert to fraction form
    2,015.94/3,024.48 = 845.33/x
  3. Step 3: Cross multiply
    2,015.94x = 3,024.48 × 845.33
  4. Step 4: Simplify right side
    2,015.94x = 2,556,668.56
  5. Step 5: Solve for x
    x = 2,556,668.56/2,015.94
  6. Step 6: Final answer
    x = 1,268.23

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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.