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Finding the Fourth Proportional to 1,816.67, 2,724.90 and 518.14

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Solution

The fourth proportional to 1,816.67, 2,724.90 and 518.14 is: 777.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.67 : 2,724.90 = 518.14 : x
  2. Step 2: Convert to fraction form
    1,816.67/2,724.90 = 518.14/x
  3. Step 3: Cross multiply
    1,816.67x = 2,724.90 × 518.14
  4. Step 4: Simplify right side
    1,816.67x = 1,411,879.69
  5. Step 5: Solve for x
    x = 1,411,879.69/1,816.67
  6. Step 6: Final answer
    x = 777.18

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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.