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Finding the Fourth Proportional to 2,015.40, 3,023.37 and 628.83

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Solution

The fourth proportional to 2,015.40, 3,023.37 and 628.83 is: 943.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.40 : 3,023.37 = 628.83 : x
  2. Step 2: Convert to fraction form
    2,015.40/3,023.37 = 628.83/x
  3. Step 3: Cross multiply
    2,015.40x = 3,023.37 × 628.83
  4. Step 4: Simplify right side
    2,015.40x = 1,901,185.76
  5. Step 5: Solve for x
    x = 1,901,185.76/2,015.40
  6. Step 6: Final answer
    x = 943.33

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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.