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Finding the Fourth Proportional to 1,426.83, 1,969.20 and 797.46

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Solution

The fourth proportional to 1,426.83, 1,969.20 and 797.46 is: 1,100.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.83 : 1,969.20 = 797.46 : x
  2. Step 2: Convert to fraction form
    1,426.83/1,969.20 = 797.46/x
  3. Step 3: Cross multiply
    1,426.83x = 1,969.20 × 797.46
  4. Step 4: Simplify right side
    1,426.83x = 1,570,358.23
  5. Step 5: Solve for x
    x = 1,570,358.23/1,426.83
  6. Step 6: Final answer
    x = 1,100.59

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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.