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Finding the Fourth Proportional to 2,015.70, 3,023.24 and 628.70

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Solution

The fourth proportional to 2,015.70, 3,023.24 and 628.70 is: 942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.70 : 3,023.24 = 628.70 : x
  2. Step 2: Convert to fraction form
    2,015.70/3,023.24 = 628.70/x
  3. Step 3: Cross multiply
    2,015.70x = 3,023.24 × 628.70
  4. Step 4: Simplify right side
    2,015.70x = 1,900,710.99
  5. Step 5: Solve for x
    x = 1,900,710.99/2,015.70
  6. Step 6: Final answer
    x = 942.95

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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.