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Finding the Fourth Proportional to 2,163.74, 3,245.19 and 1,066.94

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Solution

The fourth proportional to 2,163.74, 3,245.19 and 1,066.94 is: 1,600.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.74 : 3,245.19 = 1,066.94 : x
  2. Step 2: Convert to fraction form
    2,163.74/3,245.19 = 1,066.94/x
  3. Step 3: Cross multiply
    2,163.74x = 3,245.19 × 1,066.94
  4. Step 4: Simplify right side
    2,163.74x = 3,462,423.02
  5. Step 5: Solve for x
    x = 3,462,423.02/2,163.74
  6. Step 6: Final answer
    x = 1,600.20

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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.