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Finding the Fourth Proportional to 2,327.84, 3,211.90 and 1,384.33

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Solution

The fourth proportional to 2,327.84, 3,211.90 and 1,384.33 is: 1,910.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.84 : 3,211.90 = 1,384.33 : x
  2. Step 2: Convert to fraction form
    2,327.84/3,211.90 = 1,384.33/x
  3. Step 3: Cross multiply
    2,327.84x = 3,211.90 × 1,384.33
  4. Step 4: Simplify right side
    2,327.84x = 4,446,318.04
  5. Step 5: Solve for x
    x = 4,446,318.04/2,327.84
  6. Step 6: Final answer
    x = 1,910.06

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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.