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Finding the Fourth Proportional to 1,815.42, 2,722.58 and 582.78

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Solution

The fourth proportional to 1,815.42, 2,722.58 and 582.78 is: 873.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.42 : 2,722.58 = 582.78 : x
  2. Step 2: Convert to fraction form
    1,815.42/2,722.58 = 582.78/x
  3. Step 3: Cross multiply
    1,815.42x = 2,722.58 × 582.78
  4. Step 4: Simplify right side
    1,815.42x = 1,586,665.17
  5. Step 5: Solve for x
    x = 1,586,665.17/1,815.42
  6. Step 6: Final answer
    x = 873.99

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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.