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Finding the Fourth Proportional to 2,822.96, 4,234.26 and 875

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Solution

The fourth proportional to 2,822.96, 4,234.26 and 875 is: 1,312.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.96 : 4,234.26 = 875 : x
  2. Step 2: Convert to fraction form
    2,822.96/4,234.26 = 875/x
  3. Step 3: Cross multiply
    2,822.96x = 4,234.26 × 875
  4. Step 4: Simplify right side
    2,822.96x = 3,704,977.50
  5. Step 5: Solve for x
    x = 3,704,977.50/2,822.96
  6. Step 6: Final answer
    x = 1,312.44

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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.