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Finding the Fourth Proportional to 2,556.81, 3,816.55 and 2,193.93

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Solution

The fourth proportional to 2,556.81, 3,816.55 and 2,193.93 is: 3,274.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.81 : 3,816.55 = 2,193.93 : x
  2. Step 2: Convert to fraction form
    2,556.81/3,816.55 = 2,193.93/x
  3. Step 3: Cross multiply
    2,556.81x = 3,816.55 × 2,193.93
  4. Step 4: Simplify right side
    2,556.81x = 8,373,243.54
  5. Step 5: Solve for x
    x = 8,373,243.54/2,556.81
  6. Step 6: Final answer
    x = 3,274.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.