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Finding the Fourth Proportional to 1,720.55, 2,581.88 and 680.38

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Solution

The fourth proportional to 1,720.55, 2,581.88 and 680.38 is: 1,020.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.55 : 2,581.88 = 680.38 : x
  2. Step 2: Convert to fraction form
    1,720.55/2,581.88 = 680.38/x
  3. Step 3: Cross multiply
    1,720.55x = 2,581.88 × 680.38
  4. Step 4: Simplify right side
    1,720.55x = 1,756,649.66
  5. Step 5: Solve for x
    x = 1,756,649.66/1,720.55
  6. Step 6: Final answer
    x = 1,020.98

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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.