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Finding the Fourth Proportional to 1,622.93, 2,433.11 and 582.75

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Solution

The fourth proportional to 1,622.93, 2,433.11 and 582.75 is: 873.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.93 : 2,433.11 = 582.75 : x
  2. Step 2: Convert to fraction form
    1,622.93/2,433.11 = 582.75/x
  3. Step 3: Cross multiply
    1,622.93x = 2,433.11 × 582.75
  4. Step 4: Simplify right side
    1,622.93x = 1,417,891.94
  5. Step 5: Solve for x
    x = 1,417,891.94/1,622.93
  6. Step 6: Final answer
    x = 873.66

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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.