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Finding the Fourth Proportional to 1,941.66, 2,679.56 and 1,102.44

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Solution

The fourth proportional to 1,941.66, 2,679.56 and 1,102.44 is: 1,521.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.66 : 2,679.56 = 1,102.44 : x
  2. Step 2: Convert to fraction form
    1,941.66/2,679.56 = 1,102.44/x
  3. Step 3: Cross multiply
    1,941.66x = 2,679.56 × 1,102.44
  4. Step 4: Simplify right side
    1,941.66x = 2,954,054.13
  5. Step 5: Solve for x
    x = 2,954,054.13/1,941.66
  6. Step 6: Final answer
    x = 1,521.41

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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.