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Finding the Fourth Proportional to 2,048.36, 3,073.12 and 1,216.18

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Solution

The fourth proportional to 2,048.36, 3,073.12 and 1,216.18 is: 1,824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.36 : 3,073.12 = 1,216.18 : x
  2. Step 2: Convert to fraction form
    2,048.36/3,073.12 = 1,216.18/x
  3. Step 3: Cross multiply
    2,048.36x = 3,073.12 × 1,216.18
  4. Step 4: Simplify right side
    2,048.36x = 3,737,474.72
  5. Step 5: Solve for x
    x = 3,737,474.72/2,048.36
  6. Step 6: Final answer
    x = 1,824.62

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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.