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Finding the Fourth Proportional to 1,815.30, 2,723.10 and 582.73

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Solution

The fourth proportional to 1,815.30, 2,723.10 and 582.73 is: 874.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.30 : 2,723.10 = 582.73 : x
  2. Step 2: Convert to fraction form
    1,815.30/2,723.10 = 582.73/x
  3. Step 3: Cross multiply
    1,815.30x = 2,723.10 × 582.73
  4. Step 4: Simplify right side
    1,815.30x = 1,586,832.06
  5. Step 5: Solve for x
    x = 1,586,832.06/1,815.30
  6. Step 6: Final answer
    x = 874.14

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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.