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Finding the Fourth Proportional to 2,900.25, 4,350.31 and 820.24

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Solution

The fourth proportional to 2,900.25, 4,350.31 and 820.24 is: 1,230.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.25 : 4,350.31 = 820.24 : x
  2. Step 2: Convert to fraction form
    2,900.25/4,350.31 = 820.24/x
  3. Step 3: Cross multiply
    2,900.25x = 4,350.31 × 820.24
  4. Step 4: Simplify right side
    2,900.25x = 3,568,285.35
  5. Step 5: Solve for x
    x = 3,568,285.35/2,900.25
  6. Step 6: Final answer
    x = 1,230.34

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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.