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Finding the Fourth Proportional to 2,015.45, 3,023.40 and 628.78

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Solution

The fourth proportional to 2,015.45, 3,023.40 and 628.78 is: 943.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.45 : 3,023.40 = 628.78 : x
  2. Step 2: Convert to fraction form
    2,015.45/3,023.40 = 628.78/x
  3. Step 3: Cross multiply
    2,015.45x = 3,023.40 × 628.78
  4. Step 4: Simplify right side
    2,015.45x = 1,901,038.34
  5. Step 5: Solve for x
    x = 1,901,038.34/2,015.45
  6. Step 6: Final answer
    x = 943.23

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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.