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Finding the Fourth Proportional to 2,734.99, 3,774.31 and 1,556.14

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Solution

The fourth proportional to 2,734.99, 3,774.31 and 1,556.14 is: 2,147.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.99 : 3,774.31 = 1,556.14 : x
  2. Step 2: Convert to fraction form
    2,734.99/3,774.31 = 1,556.14/x
  3. Step 3: Cross multiply
    2,734.99x = 3,774.31 × 1,556.14
  4. Step 4: Simplify right side
    2,734.99x = 5,873,340.09
  5. Step 5: Solve for x
    x = 5,873,340.09/2,734.99
  6. Step 6: Final answer
    x = 2,147.48

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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.