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Finding the Fourth Proportional to 1,720.82, 2,581.33 and 488.14

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Solution

The fourth proportional to 1,720.82, 2,581.33 and 488.14 is: 732.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.82 : 2,581.33 = 488.14 : x
  2. Step 2: Convert to fraction form
    1,720.82/2,581.33 = 488.14/x
  3. Step 3: Cross multiply
    1,720.82x = 2,581.33 × 488.14
  4. Step 4: Simplify right side
    1,720.82x = 1,260,037.98
  5. Step 5: Solve for x
    x = 1,260,037.98/1,720.82
  6. Step 6: Final answer
    x = 732.23

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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.