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Finding the Fourth Proportional to 1,644.30, 2,466.32 and 490.05

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Solution

The fourth proportional to 1,644.30, 2,466.32 and 490.05 is: 735.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.30 : 2,466.32 = 490.05 : x
  2. Step 2: Convert to fraction form
    1,644.30/2,466.32 = 490.05/x
  3. Step 3: Cross multiply
    1,644.30x = 2,466.32 × 490.05
  4. Step 4: Simplify right side
    1,644.30x = 1,208,617.67
  5. Step 5: Solve for x
    x = 1,208,617.67/1,644.30
  6. Step 6: Final answer
    x = 735.03

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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.