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Finding the Fourth Proportional to 2,163.56, 2,985.84 and 1,279.16

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Solution

The fourth proportional to 2,163.56, 2,985.84 and 1,279.16 is: 1,765.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.56 : 2,985.84 = 1,279.16 : x
  2. Step 2: Convert to fraction form
    2,163.56/2,985.84 = 1,279.16/x
  3. Step 3: Cross multiply
    2,163.56x = 2,985.84 × 1,279.16
  4. Step 4: Simplify right side
    2,163.56x = 3,819,367.09
  5. Step 5: Solve for x
    x = 3,819,367.09/2,163.56
  6. Step 6: Final answer
    x = 1,765.32

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