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Finding the Fourth Proportional to 2,734.96, 3,774.36 and 1,556.32

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Solution

The fourth proportional to 2,734.96, 3,774.36 and 1,556.32 is: 2,147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.96 : 3,774.36 = 1,556.32 : x
  2. Step 2: Convert to fraction form
    2,734.96/3,774.36 = 1,556.32/x
  3. Step 3: Cross multiply
    2,734.96x = 3,774.36 × 1,556.32
  4. Step 4: Simplify right side
    2,734.96x = 5,874,111.96
  5. Step 5: Solve for x
    x = 5,874,111.96/2,734.96
  6. Step 6: Final answer
    x = 2,147.79

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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.