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Finding the Fourth Proportional to 3,199.98, 4,414.32 and 1,923.15

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Solution

The fourth proportional to 3,199.98, 4,414.32 and 1,923.15 is: 2,652.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.98 : 4,414.32 = 1,923.15 : x
  2. Step 2: Convert to fraction form
    3,199.98/4,414.32 = 1,923.15/x
  3. Step 3: Cross multiply
    3,199.98x = 4,414.32 × 1,923.15
  4. Step 4: Simplify right side
    3,199.98x = 8,489,399.51
  5. Step 5: Solve for x
    x = 8,489,399.51/3,199.98
  6. Step 6: Final answer
    x = 2,652.95

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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.