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Finding the Fourth Proportional to 2,822.76, 4,234.41 and 874.44

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Solution

The fourth proportional to 2,822.76, 4,234.41 and 874.44 is: 1,311.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.76 : 4,234.41 = 874.44 : x
  2. Step 2: Convert to fraction form
    2,822.76/4,234.41 = 874.44/x
  3. Step 3: Cross multiply
    2,822.76x = 4,234.41 × 874.44
  4. Step 4: Simplify right side
    2,822.76x = 3,702,737.48
  5. Step 5: Solve for x
    x = 3,702,737.48/2,822.76
  6. Step 6: Final answer
    x = 1,311.74

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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.