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Finding the Fourth Proportional to 2,177.96, 3,266.22 and 1,556.42

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Solution

The fourth proportional to 2,177.96, 3,266.22 and 1,556.42 is: 2,334.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.96 : 3,266.22 = 1,556.42 : x
  2. Step 2: Convert to fraction form
    2,177.96/3,266.22 = 1,556.42/x
  3. Step 3: Cross multiply
    2,177.96x = 3,266.22 × 1,556.42
  4. Step 4: Simplify right side
    2,177.96x = 5,083,610.13
  5. Step 5: Solve for x
    x = 5,083,610.13/2,177.96
  6. Step 6: Final answer
    x = 2,334.12

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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.