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Finding the Fourth Proportional to 2,109.07, 3,163.50 and 810.46

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Solution

The fourth proportional to 2,109.07, 3,163.50 and 810.46 is: 1,215.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.07 : 3,163.50 = 810.46 : x
  2. Step 2: Convert to fraction form
    2,109.07/3,163.50 = 810.46/x
  3. Step 3: Cross multiply
    2,109.07x = 3,163.50 × 810.46
  4. Step 4: Simplify right side
    2,109.07x = 2,563,890.21
  5. Step 5: Solve for x
    x = 2,563,890.21/2,109.07
  6. Step 6: Final answer
    x = 1,215.65

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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.