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Finding the Fourth Proportional to 2,812.94, 4,219.86 and 1,352.06

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Solution

The fourth proportional to 2,812.94, 4,219.86 and 1,352.06 is: 2,028.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.94 : 4,219.86 = 1,352.06 : x
  2. Step 2: Convert to fraction form
    2,812.94/4,219.86 = 1,352.06/x
  3. Step 3: Cross multiply
    2,812.94x = 4,219.86 × 1,352.06
  4. Step 4: Simplify right side
    2,812.94x = 5,705,503.91
  5. Step 5: Solve for x
    x = 5,705,503.91/2,812.94
  6. Step 6: Final answer
    x = 2,028.31

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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.