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Finding the Fourth Proportional to 2,707.18, 3,734.78 and 1,821.44

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Solution

The fourth proportional to 2,707.18, 3,734.78 and 1,821.44 is: 2,512.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.18 : 3,734.78 = 1,821.44 : x
  2. Step 2: Convert to fraction form
    2,707.18/3,734.78 = 1,821.44/x
  3. Step 3: Cross multiply
    2,707.18x = 3,734.78 × 1,821.44
  4. Step 4: Simplify right side
    2,707.18x = 6,802,677.91
  5. Step 5: Solve for x
    x = 6,802,677.91/2,707.18
  6. Step 6: Final answer
    x = 2,512.83

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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.