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Finding the Fourth Proportional to 2,873.98, 4,304.49 and 2,012.14

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Solution

The fourth proportional to 2,873.98, 4,304.49 and 2,012.14 is: 3,013.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.98 : 4,304.49 = 2,012.14 : x
  2. Step 2: Convert to fraction form
    2,873.98/4,304.49 = 2,012.14/x
  3. Step 3: Cross multiply
    2,873.98x = 4,304.49 × 2,012.14
  4. Step 4: Simplify right side
    2,873.98x = 8,661,236.51
  5. Step 5: Solve for x
    x = 8,661,236.51/2,873.98
  6. Step 6: Final answer
    x = 3,013.67

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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.