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Finding the Fourth Proportional to 2,628.68, 3,943.02 and 680.90

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Solution

The fourth proportional to 2,628.68, 3,943.02 and 680.90 is: 1,021.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.68 : 3,943.02 = 680.90 : x
  2. Step 2: Convert to fraction form
    2,628.68/3,943.02 = 680.90/x
  3. Step 3: Cross multiply
    2,628.68x = 3,943.02 × 680.90
  4. Step 4: Simplify right side
    2,628.68x = 2,684,802.32
  5. Step 5: Solve for x
    x = 2,684,802.32/2,628.68
  6. Step 6: Final answer
    x = 1,021.35

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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.