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Finding the Fourth Proportional to 2,048.97, 3,073.47 and 662.30

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Solution

The fourth proportional to 2,048.97, 3,073.47 and 662.30 is: 993.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.97 : 3,073.47 = 662.30 : x
  2. Step 2: Convert to fraction form
    2,048.97/3,073.47 = 662.30/x
  3. Step 3: Cross multiply
    2,048.97x = 3,073.47 × 662.30
  4. Step 4: Simplify right side
    2,048.97x = 2,035,573.87
  5. Step 5: Solve for x
    x = 2,035,573.87/2,048.97
  6. Step 6: Final answer
    x = 993.46

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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.