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Finding the Fourth Proportional to 1,622.46, 2,432.22 and 582.21

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Solution

The fourth proportional to 1,622.46, 2,432.22 and 582.21 is: 872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.46 : 2,432.22 = 582.21 : x
  2. Step 2: Convert to fraction form
    1,622.46/2,432.22 = 582.21/x
  3. Step 3: Cross multiply
    1,622.46x = 2,432.22 × 582.21
  4. Step 4: Simplify right side
    1,622.46x = 1,416,071.56
  5. Step 5: Solve for x
    x = 1,416,071.56/1,622.46
  6. Step 6: Final answer
    x = 872.80

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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.