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Finding the Fourth Proportional to 2,556.67, 3,835.82 and 1,941.07

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Solution

The fourth proportional to 2,556.67, 3,835.82 and 1,941.07 is: 2,912.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.67 : 3,835.82 = 1,941.07 : x
  2. Step 2: Convert to fraction form
    2,556.67/3,835.82 = 1,941.07/x
  3. Step 3: Cross multiply
    2,556.67x = 3,835.82 × 1,941.07
  4. Step 4: Simplify right side
    2,556.67x = 7,445,595.13
  5. Step 5: Solve for x
    x = 7,445,595.13/2,556.67
  6. Step 6: Final answer
    x = 2,912.22

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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.