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Finding the Fourth Proportional to 2,734.70, 3,774.20 and 1,852.61

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Solution

The fourth proportional to 2,734.70, 3,774.20 and 1,852.61 is: 2,556.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.70 : 3,774.20 = 1,852.61 : x
  2. Step 2: Convert to fraction form
    2,734.70/3,774.20 = 1,852.61/x
  3. Step 3: Cross multiply
    2,734.70x = 3,774.20 × 1,852.61
  4. Step 4: Simplify right side
    2,734.70x = 6,992,092.53
  5. Step 5: Solve for x
    x = 6,992,092.53/2,734.70
  6. Step 6: Final answer
    x = 2,556.81

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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.