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Finding the Fourth Proportional to 2,733.84, 4,119.21 and 2,257.56

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Solution

The fourth proportional to 2,733.84, 4,119.21 and 2,257.56 is: 3,401.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.84 : 4,119.21 = 2,257.56 : x
  2. Step 2: Convert to fraction form
    2,733.84/4,119.21 = 2,257.56/x
  3. Step 3: Cross multiply
    2,733.84x = 4,119.21 × 2,257.56
  4. Step 4: Simplify right side
    2,733.84x = 9,299,363.73
  5. Step 5: Solve for x
    x = 9,299,363.73/2,733.84
  6. Step 6: Final answer
    x = 3,401.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.