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Finding the Fourth Proportional to 2,048.68, 3,072.66 and 662.36

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Solution

The fourth proportional to 2,048.68, 3,072.66 and 662.36 is: 993.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.68 : 3,072.66 = 662.36 : x
  2. Step 2: Convert to fraction form
    2,048.68/3,072.66 = 662.36/x
  3. Step 3: Cross multiply
    2,048.68x = 3,072.66 × 662.36
  4. Step 4: Simplify right side
    2,048.68x = 2,035,207.08
  5. Step 5: Solve for x
    x = 2,035,207.08/2,048.68
  6. Step 6: Final answer
    x = 993.42

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Why These Related Problems?

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