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Finding the Fourth Proportional to 1,753.23, 2,408.07 and 1,644.81

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Solution

The fourth proportional to 1,753.23, 2,408.07 and 1,644.81 is: 2,259.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.23 : 2,408.07 = 1,644.81 : x
  2. Step 2: Convert to fraction form
    1,753.23/2,408.07 = 1,644.81/x
  3. Step 3: Cross multiply
    1,753.23x = 2,408.07 × 1,644.81
  4. Step 4: Simplify right side
    1,753.23x = 3,960,817.62
  5. Step 5: Solve for x
    x = 3,960,817.62/1,753.23
  6. Step 6: Final answer
    x = 2,259.15

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.