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Finding the Fourth Proportional to 2,015.27, 3,023.18 and 628.71

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Solution

The fourth proportional to 2,015.27, 3,023.18 and 628.71 is: 943.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.27 : 3,023.18 = 628.71 : x
  2. Step 2: Convert to fraction form
    2,015.27/3,023.18 = 628.71/x
  3. Step 3: Cross multiply
    2,015.27x = 3,023.18 × 628.71
  4. Step 4: Simplify right side
    2,015.27x = 1,900,703.50
  5. Step 5: Solve for x
    x = 1,900,703.50/2,015.27
  6. Step 6: Final answer
    x = 943.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.