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Finding the Fourth Proportional to 1,941.96, 2,679.96 and 1,102.70

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Solution

The fourth proportional to 1,941.96, 2,679.96 and 1,102.70 is: 1,521.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.96 : 2,679.96 = 1,102.70 : x
  2. Step 2: Convert to fraction form
    1,941.96/2,679.96 = 1,102.70/x
  3. Step 3: Cross multiply
    1,941.96x = 2,679.96 × 1,102.70
  4. Step 4: Simplify right side
    1,941.96x = 2,955,178.49
  5. Step 5: Solve for x
    x = 2,955,178.49/1,941.96
  6. Step 6: Final answer
    x = 1,521.75

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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.