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Finding the Fourth Proportional to 1,974.22, 2,961.46 and 657.92

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Solution

The fourth proportional to 1,974.22, 2,961.46 and 657.92 is: 986.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.22 : 2,961.46 = 657.92 : x
  2. Step 2: Convert to fraction form
    1,974.22/2,961.46 = 657.92/x
  3. Step 3: Cross multiply
    1,974.22x = 2,961.46 × 657.92
  4. Step 4: Simplify right side
    1,974.22x = 1,948,403.76
  5. Step 5: Solve for x
    x = 1,948,403.76/1,974.22
  6. Step 6: Final answer
    x = 986.92

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Why These Related Problems?

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