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Finding the Fourth Proportional to 1,816.25, 2,724.37 and 662.00

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Solution

The fourth proportional to 1,816.25, 2,724.37 and 662.00 is: 992.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.25 : 2,724.37 = 662.00 : x
  2. Step 2: Convert to fraction form
    1,816.25/2,724.37 = 662.00/x
  3. Step 3: Cross multiply
    1,816.25x = 2,724.37 × 662.00
  4. Step 4: Simplify right side
    1,816.25x = 1,803,517.66
  5. Step 5: Solve for x
    x = 1,803,517.66/1,816.25
  6. Step 6: Final answer
    x = 992.99

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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.