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Finding the Fourth Proportional to 1,626.89, 2,440.34 and 394.30

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Solution

The fourth proportional to 1,626.89, 2,440.34 and 394.30 is: 591.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.89 : 2,440.34 = 394.30 : x
  2. Step 2: Convert to fraction form
    1,626.89/2,440.34 = 394.30/x
  3. Step 3: Cross multiply
    1,626.89x = 2,440.34 × 394.30
  4. Step 4: Simplify right side
    1,626.89x = 962,211.89
  5. Step 5: Solve for x
    x = 962,211.89/1,626.89
  6. Step 6: Final answer
    x = 591.44

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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.