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Finding the Fourth Proportional to 1,948, 2,922.24 and 793.12

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Solution

The fourth proportional to 1,948, 2,922.24 and 793.12 is: 1,189.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948 : 2,922.24 = 793.12 : x
  2. Step 2: Convert to fraction form
    1,948/2,922.24 = 793.12/x
  3. Step 3: Cross multiply
    1,948x = 2,922.24 × 793.12
  4. Step 4: Simplify right side
    1,948x = 2,317,686.99
  5. Step 5: Solve for x
    x = 2,317,686.99/1,948
  6. Step 6: Final answer
    x = 1,189.78

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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.