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Finding the Fourth Proportional to 3,422.55, 4,722.93 and 2,163.81

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Solution

The fourth proportional to 3,422.55, 4,722.93 and 2,163.81 is: 2,985.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.55 : 4,722.93 = 2,163.81 : x
  2. Step 2: Convert to fraction form
    3,422.55/4,722.93 = 2,163.81/x
  3. Step 3: Cross multiply
    3,422.55x = 4,722.93 × 2,163.81
  4. Step 4: Simplify right side
    3,422.55x = 10,219,523.16
  5. Step 5: Solve for x
    x = 10,219,523.16/3,422.55
  6. Step 6: Final answer
    x = 2,985.94

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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.