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Finding the Fourth Proportional to 2,015.38, 3,022.98 and 845.08

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Solution

The fourth proportional to 2,015.38, 3,022.98 and 845.08 is: 1,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.38 : 3,022.98 = 845.08 : x
  2. Step 2: Convert to fraction form
    2,015.38/3,022.98 = 845.08/x
  3. Step 3: Cross multiply
    2,015.38x = 3,022.98 × 845.08
  4. Step 4: Simplify right side
    2,015.38x = 2,554,659.94
  5. Step 5: Solve for x
    x = 2,554,659.94/2,015.38
  6. Step 6: Final answer
    x = 1,267.58

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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.