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Finding the Fourth Proportional to 1,816.14, 2,722.80 and 582.84

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Solution

The fourth proportional to 1,816.14, 2,722.80 and 582.84 is: 873.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.14 : 2,722.80 = 582.84 : x
  2. Step 2: Convert to fraction form
    1,816.14/2,722.80 = 582.84/x
  3. Step 3: Cross multiply
    1,816.14x = 2,722.80 × 582.84
  4. Step 4: Simplify right side
    1,816.14x = 1,586,956.75
  5. Step 5: Solve for x
    x = 1,586,956.75/1,816.14
  6. Step 6: Final answer
    x = 873.81

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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.