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Finding the Fourth Proportional to 1,720.91, 2,580.81 and 681.18

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Solution

The fourth proportional to 1,720.91, 2,580.81 and 681.18 is: 1,021.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.91 : 2,580.81 = 681.18 : x
  2. Step 2: Convert to fraction form
    1,720.91/2,580.81 = 681.18/x
  3. Step 3: Cross multiply
    1,720.91x = 2,580.81 × 681.18
  4. Step 4: Simplify right side
    1,720.91x = 1,757,996.16
  5. Step 5: Solve for x
    x = 1,757,996.16/1,720.91
  6. Step 6: Final answer
    x = 1,021.55

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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.