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Finding the Fourth Proportional to 2,327.79, 3,493.05 and 2,141.89

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Solution

The fourth proportional to 2,327.79, 3,493.05 and 2,141.89 is: 3,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.79 : 3,493.05 = 2,141.89 : x
  2. Step 2: Convert to fraction form
    2,327.79/3,493.05 = 2,141.89/x
  3. Step 3: Cross multiply
    2,327.79x = 3,493.05 × 2,141.89
  4. Step 4: Simplify right side
    2,327.79x = 7,481,737.77
  5. Step 5: Solve for x
    x = 7,481,737.77/2,327.79
  6. Step 6: Final answer
    x = 3,214.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.