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Finding the Fourth Proportional to 2,822.63, 4,234.46 and 874.37

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Solution

The fourth proportional to 2,822.63, 4,234.46 and 874.37 is: 1,311.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.63 : 4,234.46 = 874.37 : x
  2. Step 2: Convert to fraction form
    2,822.63/4,234.46 = 874.37/x
  3. Step 3: Cross multiply
    2,822.63x = 4,234.46 × 874.37
  4. Step 4: Simplify right side
    2,822.63x = 3,702,459.25
  5. Step 5: Solve for x
    x = 3,702,459.25/2,822.63
  6. Step 6: Final answer
    x = 1,311.71

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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.