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Finding the Fourth Proportional to 2,110.05, 3,163.14 and 810.54

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Solution

The fourth proportional to 2,110.05, 3,163.14 and 810.54 is: 1,215.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.05 : 3,163.14 = 810.54 : x
  2. Step 2: Convert to fraction form
    2,110.05/3,163.14 = 810.54/x
  3. Step 3: Cross multiply
    2,110.05x = 3,163.14 × 810.54
  4. Step 4: Simplify right side
    2,110.05x = 2,563,851.50
  5. Step 5: Solve for x
    x = 2,563,851.50/2,110.05
  6. Step 6: Final answer
    x = 1,215.07

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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.