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Finding the Fourth Proportional to 2,383.57, 3,575.24 and 628.55

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Solution

The fourth proportional to 2,383.57, 3,575.24 and 628.55 is: 942.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.57 : 3,575.24 = 628.55 : x
  2. Step 2: Convert to fraction form
    2,383.57/3,575.24 = 628.55/x
  3. Step 3: Cross multiply
    2,383.57x = 3,575.24 × 628.55
  4. Step 4: Simplify right side
    2,383.57x = 2,247,217.10
  5. Step 5: Solve for x
    x = 2,247,217.10/2,383.57
  6. Step 6: Final answer
    x = 942.79

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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.