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Finding the Fourth Proportional to 2,764.93, 3,812.67 and 2,135.56

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Solution

The fourth proportional to 2,764.93, 3,812.67 and 2,135.56 is: 2,944.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.93 : 3,812.67 = 2,135.56 : x
  2. Step 2: Convert to fraction form
    2,764.93/3,812.67 = 2,135.56/x
  3. Step 3: Cross multiply
    2,764.93x = 3,812.67 × 2,135.56
  4. Step 4: Simplify right side
    2,764.93x = 8,142,166.48
  5. Step 5: Solve for x
    x = 8,142,166.48/2,764.93
  6. Step 6: Final answer
    x = 2,944.81

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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.