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Finding the Fourth Proportional to 2,681.90, 4,022.21 and 926.97

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Solution

The fourth proportional to 2,681.90, 4,022.21 and 926.97 is: 1,390.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.90 : 4,022.21 = 926.97 : x
  2. Step 2: Convert to fraction form
    2,681.90/4,022.21 = 926.97/x
  3. Step 3: Cross multiply
    2,681.90x = 4,022.21 × 926.97
  4. Step 4: Simplify right side
    2,681.90x = 3,728,455.24
  5. Step 5: Solve for x
    x = 3,728,455.24/2,681.90
  6. Step 6: Final answer
    x = 1,390.23

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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.