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Finding the Fourth Proportional to 2,015.67, 3,022.53 and 845.34

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Solution

The fourth proportional to 2,015.67, 3,022.53 and 845.34 is: 1,267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.67 : 3,022.53 = 845.34 : x
  2. Step 2: Convert to fraction form
    2,015.67/3,022.53 = 845.34/x
  3. Step 3: Cross multiply
    2,015.67x = 3,022.53 × 845.34
  4. Step 4: Simplify right side
    2,015.67x = 2,555,065.51
  5. Step 5: Solve for x
    x = 2,555,065.51/2,015.67
  6. Step 6: Final answer
    x = 1,267.60

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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.