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Finding the Fourth Proportional to 3,023.34, 4,532.22 and 2,099.34

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Solution

The fourth proportional to 3,023.34, 4,532.22 and 2,099.34 is: 3,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.34 : 4,532.22 = 2,099.34 : x
  2. Step 2: Convert to fraction form
    3,023.34/4,532.22 = 2,099.34/x
  3. Step 3: Cross multiply
    3,023.34x = 4,532.22 × 2,099.34
  4. Step 4: Simplify right side
    3,023.34x = 9,514,670.73
  5. Step 5: Solve for x
    x = 9,514,670.73/3,023.34
  6. Step 6: Final answer
    x = 3,147.07

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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.