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Finding the Fourth Proportional to 1,929.94, 2,663.23 and 1,183.78

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Solution

The fourth proportional to 1,929.94, 2,663.23 and 1,183.78 is: 1,633.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.94 : 2,663.23 = 1,183.78 : x
  2. Step 2: Convert to fraction form
    1,929.94/2,663.23 = 1,183.78/x
  3. Step 3: Cross multiply
    1,929.94x = 2,663.23 × 1,183.78
  4. Step 4: Simplify right side
    1,929.94x = 3,152,678.41
  5. Step 5: Solve for x
    x = 3,152,678.41/1,929.94
  6. Step 6: Final answer
    x = 1,633.56

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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.