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Finding the Fourth Proportional to 1,720.67, 2,581.01 and 422.14

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Solution

The fourth proportional to 1,720.67, 2,581.01 and 422.14 is: 633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.67 : 2,581.01 = 422.14 : x
  2. Step 2: Convert to fraction form
    1,720.67/2,581.01 = 422.14/x
  3. Step 3: Cross multiply
    1,720.67x = 2,581.01 × 422.14
  4. Step 4: Simplify right side
    1,720.67x = 1,089,532.55
  5. Step 5: Solve for x
    x = 1,089,532.55/1,720.67
  6. Step 6: Final answer
    x = 633.20

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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.