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Finding the Fourth Proportional to 2,734.88, 3,774.33 and 1,556.33

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Solution

The fourth proportional to 2,734.88, 3,774.33 and 1,556.33 is: 2,147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.88 : 3,774.33 = 1,556.33 : x
  2. Step 2: Convert to fraction form
    2,734.88/3,774.33 = 1,556.33/x
  3. Step 3: Cross multiply
    2,734.88x = 3,774.33 × 1,556.33
  4. Step 4: Simplify right side
    2,734.88x = 5,874,084.14
  5. Step 5: Solve for x
    x = 5,874,084.14/2,734.88
  6. Step 6: Final answer
    x = 2,147.84

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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.