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Finding the Fourth Proportional to 2,068.74, 3,103.25 and 681.62

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Solution

The fourth proportional to 2,068.74, 3,103.25 and 681.62 is: 1,022.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.74 : 3,103.25 = 681.62 : x
  2. Step 2: Convert to fraction form
    2,068.74/3,103.25 = 681.62/x
  3. Step 3: Cross multiply
    2,068.74x = 3,103.25 × 681.62
  4. Step 4: Simplify right side
    2,068.74x = 2,115,218.34
  5. Step 5: Solve for x
    x = 2,115,218.34/2,068.74
  6. Step 6: Final answer
    x = 1,022.47

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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.