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Finding the Fourth Proportional to 2,014.96, 3,022.38 and 628.24

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Solution

The fourth proportional to 2,014.96, 3,022.38 and 628.24 is: 942.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.96 : 3,022.38 = 628.24 : x
  2. Step 2: Convert to fraction form
    2,014.96/3,022.38 = 628.24/x
  3. Step 3: Cross multiply
    2,014.96x = 3,022.38 × 628.24
  4. Step 4: Simplify right side
    2,014.96x = 1,898,780.01
  5. Step 5: Solve for x
    x = 1,898,780.01/2,014.96
  6. Step 6: Final answer
    x = 942.34

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1.5x scale

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.