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Finding the Fourth Proportional to 1,644.72, 2,467.06 and 490.47

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Solution

The fourth proportional to 1,644.72, 2,467.06 and 490.47 is: 735.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.72 : 2,467.06 = 490.47 : x
  2. Step 2: Convert to fraction form
    1,644.72/2,467.06 = 490.47/x
  3. Step 3: Cross multiply
    1,644.72x = 2,467.06 × 490.47
  4. Step 4: Simplify right side
    1,644.72x = 1,210,016.47
  5. Step 5: Solve for x
    x = 1,210,016.47/1,644.72
  6. Step 6: Final answer
    x = 735.70

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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.