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Finding the Fourth Proportional to 2,048.62, 3,072.91 and 1,355.12

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Solution

The fourth proportional to 2,048.62, 3,072.91 and 1,355.12 is: 2,032.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.62 : 3,072.91 = 1,355.12 : x
  2. Step 2: Convert to fraction form
    2,048.62/3,072.91 = 1,355.12/x
  3. Step 3: Cross multiply
    2,048.62x = 3,072.91 × 1,355.12
  4. Step 4: Simplify right side
    2,048.62x = 4,164,161.80
  5. Step 5: Solve for x
    x = 4,164,161.80/2,048.62
  6. Step 6: Final answer
    x = 2,032.67

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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.