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Finding the Fourth Proportional to 1,426.73, 1,968.86 and 797.26

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Solution

The fourth proportional to 1,426.73, 1,968.86 and 797.26 is: 1,100.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.73 : 1,968.86 = 797.26 : x
  2. Step 2: Convert to fraction form
    1,426.73/1,968.86 = 797.26/x
  3. Step 3: Cross multiply
    1,426.73x = 1,968.86 × 797.26
  4. Step 4: Simplify right side
    1,426.73x = 1,569,689.60
  5. Step 5: Solve for x
    x = 1,569,689.60/1,426.73
  6. Step 6: Final answer
    x = 1,100.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.