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Finding the Fourth Proportional to 2,731.84, 4,093.71 and 1,412.62

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Solution

The fourth proportional to 2,731.84, 4,093.71 and 1,412.62 is: 2,116.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.84 : 4,093.71 = 1,412.62 : x
  2. Step 2: Convert to fraction form
    2,731.84/4,093.71 = 1,412.62/x
  3. Step 3: Cross multiply
    2,731.84x = 4,093.71 × 1,412.62
  4. Step 4: Simplify right side
    2,731.84x = 5,782,856.62
  5. Step 5: Solve for x
    x = 5,782,856.62/2,731.84
  6. Step 6: Final answer
    x = 2,116.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.