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Finding the Fourth Proportional to 1,930.37, 2,663.90 and 1,144.79

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Solution

The fourth proportional to 1,930.37, 2,663.90 and 1,144.79 is: 1,579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.37 : 2,663.90 = 1,144.79 : x
  2. Step 2: Convert to fraction form
    1,930.37/2,663.90 = 1,144.79/x
  3. Step 3: Cross multiply
    1,930.37x = 2,663.90 × 1,144.79
  4. Step 4: Simplify right side
    1,930.37x = 3,049,600.36
  5. Step 5: Solve for x
    x = 3,049,600.36/1,930.37
  6. Step 6: Final answer
    x = 1,579.80

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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.