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Finding the Fourth Proportional to 2,822.67, 4,234.68 and 874.87

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Solution

The fourth proportional to 2,822.67, 4,234.68 and 874.87 is: 1,312.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.67 : 4,234.68 = 874.87 : x
  2. Step 2: Convert to fraction form
    2,822.67/4,234.68 = 874.87/x
  3. Step 3: Cross multiply
    2,822.67x = 4,234.68 × 874.87
  4. Step 4: Simplify right side
    2,822.67x = 3,704,783.90
  5. Step 5: Solve for x
    x = 3,704,783.90/2,822.67
  6. Step 6: Final answer
    x = 1,312.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.