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Finding the Fourth Proportional to 2,777.68, 4,163.96 and 2,158

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Solution

The fourth proportional to 2,777.68, 4,163.96 and 2,158 is: 3,235.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.68 : 4,163.96 = 2,158 : x
  2. Step 2: Convert to fraction form
    2,777.68/4,163.96 = 2,158/x
  3. Step 3: Cross multiply
    2,777.68x = 4,163.96 × 2,158
  4. Step 4: Simplify right side
    2,777.68x = 8,985,825.68
  5. Step 5: Solve for x
    x = 8,985,825.68/2,777.68
  6. Step 6: Final answer
    x = 3,235.01

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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.