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Finding the Fourth Proportional to 2,016.09, 3,023.76 and 845.78

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Solution

The fourth proportional to 2,016.09, 3,023.76 and 845.78 is: 1,268.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.09 : 3,023.76 = 845.78 : x
  2. Step 2: Convert to fraction form
    2,016.09/3,023.76 = 845.78/x
  3. Step 3: Cross multiply
    2,016.09x = 3,023.76 × 845.78
  4. Step 4: Simplify right side
    2,016.09x = 2,557,420.61
  5. Step 5: Solve for x
    x = 2,557,420.61/2,016.09
  6. Step 6: Final answer
    x = 1,268.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.