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Finding the Fourth Proportional to 1,409.37, 1,944.57 and 819.54

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Solution

The fourth proportional to 1,409.37, 1,944.57 and 819.54 is: 1,130.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.37 : 1,944.57 = 819.54 : x
  2. Step 2: Convert to fraction form
    1,409.37/1,944.57 = 819.54/x
  3. Step 3: Cross multiply
    1,409.37x = 1,944.57 × 819.54
  4. Step 4: Simplify right side
    1,409.37x = 1,593,652.90
  5. Step 5: Solve for x
    x = 1,593,652.90/1,409.37
  6. Step 6: Final answer
    x = 1,130.76

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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.