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Finding the Fourth Proportional to 2,978.01, 4,463.37 and 2,110.50

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Solution

The fourth proportional to 2,978.01, 4,463.37 and 2,110.50 is: 3,163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.01 : 4,463.37 = 2,110.50 : x
  2. Step 2: Convert to fraction form
    2,978.01/4,463.37 = 2,110.50/x
  3. Step 3: Cross multiply
    2,978.01x = 4,463.37 × 2,110.50
  4. Step 4: Simplify right side
    2,978.01x = 9,419,942.39
  5. Step 5: Solve for x
    x = 9,419,942.39/2,978.01
  6. Step 6: Final answer
    x = 3,163.17

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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.