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Finding the Fourth Proportional to 3,367.98, 4,646.84 and 2,173.50

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Solution

The fourth proportional to 3,367.98, 4,646.84 and 2,173.50 is: 2,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.98 : 4,646.84 = 2,173.50 : x
  2. Step 2: Convert to fraction form
    3,367.98/4,646.84 = 2,173.50/x
  3. Step 3: Cross multiply
    3,367.98x = 4,646.84 × 2,173.50
  4. Step 4: Simplify right side
    3,367.98x = 10,099,895.87
  5. Step 5: Solve for x
    x = 10,099,895.87/3,367.98
  6. Step 6: Final answer
    x = 2,998.80

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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.