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Finding the Fourth Proportional to 1,972.57, 2,958.93 and 656.44

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Solution

The fourth proportional to 1,972.57, 2,958.93 and 656.44 is: 984.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.57 : 2,958.93 = 656.44 : x
  2. Step 2: Convert to fraction form
    1,972.57/2,958.93 = 656.44/x
  3. Step 3: Cross multiply
    1,972.57x = 2,958.93 × 656.44
  4. Step 4: Simplify right side
    1,972.57x = 1,942,360.01
  5. Step 5: Solve for x
    x = 1,942,360.01/1,972.57
  6. Step 6: Final answer
    x = 984.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.