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Finding the Fourth Proportional to 2,711.79, 3,739.50 and 2,212.83

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Solution

The fourth proportional to 2,711.79, 3,739.50 and 2,212.83 is: 3,051.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.79 : 3,739.50 = 2,212.83 : x
  2. Step 2: Convert to fraction form
    2,711.79/3,739.50 = 2,212.83/x
  3. Step 3: Cross multiply
    2,711.79x = 3,739.50 × 2,212.83
  4. Step 4: Simplify right side
    2,711.79x = 8,274,877.79
  5. Step 5: Solve for x
    x = 8,274,877.79/2,711.79
  6. Step 6: Final answer
    x = 3,051.44

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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.