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Finding the Fourth Proportional to 1,726.78, 2,382.96 and 940.82

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Solution

The fourth proportional to 1,726.78, 2,382.96 and 940.82 is: 1,298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.78 : 2,382.96 = 940.82 : x
  2. Step 2: Convert to fraction form
    1,726.78/2,382.96 = 940.82/x
  3. Step 3: Cross multiply
    1,726.78x = 2,382.96 × 940.82
  4. Step 4: Simplify right side
    1,726.78x = 2,241,936.43
  5. Step 5: Solve for x
    x = 2,241,936.43/1,726.78
  6. Step 6: Final answer
    x = 1,298.33

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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.