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Finding the Fourth Proportional to 1,426.93, 1,969.13 and 797.47

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Solution

The fourth proportional to 1,426.93, 1,969.13 and 797.47 is: 1,100.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.93 : 1,969.13 = 797.47 : x
  2. Step 2: Convert to fraction form
    1,426.93/1,969.13 = 797.47/x
  3. Step 3: Cross multiply
    1,426.93x = 1,969.13 × 797.47
  4. Step 4: Simplify right side
    1,426.93x = 1,570,312.26
  5. Step 5: Solve for x
    x = 1,570,312.26/1,426.93
  6. Step 6: Final answer
    x = 1,100.49

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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.