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Finding the Fourth Proportional to 2,556.81, 3,835.10 and 801.77

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Solution

The fourth proportional to 2,556.81, 3,835.10 and 801.77 is: 1,202.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.81 : 3,835.10 = 801.77 : x
  2. Step 2: Convert to fraction form
    2,556.81/3,835.10 = 801.77/x
  3. Step 3: Cross multiply
    2,556.81x = 3,835.10 × 801.77
  4. Step 4: Simplify right side
    2,556.81x = 3,074,868.13
  5. Step 5: Solve for x
    x = 3,074,868.13/2,556.81
  6. Step 6: Final answer
    x = 1,202.62

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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.