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Finding the Fourth Proportional to 1,993.20, 2,749.76 and 1,153.76

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Solution

The fourth proportional to 1,993.20, 2,749.76 and 1,153.76 is: 1,591.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.20 : 2,749.76 = 1,153.76 : x
  2. Step 2: Convert to fraction form
    1,993.20/2,749.76 = 1,153.76/x
  3. Step 3: Cross multiply
    1,993.20x = 2,749.76 × 1,153.76
  4. Step 4: Simplify right side
    1,993.20x = 3,172,563.10
  5. Step 5: Solve for x
    x = 3,172,563.10/1,993.20
  6. Step 6: Final answer
    x = 1,591.69

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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.