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Finding the Fourth Proportional to 1,972.70, 2,722.31 and 1,076.43

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Solution

The fourth proportional to 1,972.70, 2,722.31 and 1,076.43 is: 1,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.70 : 2,722.31 = 1,076.43 : x
  2. Step 2: Convert to fraction form
    1,972.70/2,722.31 = 1,076.43/x
  3. Step 3: Cross multiply
    1,972.70x = 2,722.31 × 1,076.43
  4. Step 4: Simplify right side
    1,972.70x = 2,930,370.77
  5. Step 5: Solve for x
    x = 2,930,370.77/1,972.70
  6. Step 6: Final answer
    x = 1,485.47

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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.