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Finding the Fourth Proportional to 1,816.02, 2,723.27 and 582.77

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Solution

The fourth proportional to 1,816.02, 2,723.27 and 582.77 is: 873.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.02 : 2,723.27 = 582.77 : x
  2. Step 2: Convert to fraction form
    1,816.02/2,723.27 = 582.77/x
  3. Step 3: Cross multiply
    1,816.02x = 2,723.27 × 582.77
  4. Step 4: Simplify right side
    1,816.02x = 1,587,023.53
  5. Step 5: Solve for x
    x = 1,587,023.53/1,816.02
  6. Step 6: Final answer
    x = 873.90

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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.