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Finding the Fourth Proportional to 2,163.03, 2,986.13 and 1,732.98

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Solution

The fourth proportional to 2,163.03, 2,986.13 and 1,732.98 is: 2,392.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.03 : 2,986.13 = 1,732.98 : x
  2. Step 2: Convert to fraction form
    2,163.03/2,986.13 = 1,732.98/x
  3. Step 3: Cross multiply
    2,163.03x = 2,986.13 × 1,732.98
  4. Step 4: Simplify right side
    2,163.03x = 5,174,888.69
  5. Step 5: Solve for x
    x = 5,174,888.69/2,163.03
  6. Step 6: Final answer
    x = 2,392.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.