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Finding the Fourth Proportional to 2,157.92, 3,236.88 and 1,183.76

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Solution

The fourth proportional to 2,157.92, 3,236.88 and 1,183.76 is: 1,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.92 : 3,236.88 = 1,183.76 : x
  2. Step 2: Convert to fraction form
    2,157.92/3,236.88 = 1,183.76/x
  3. Step 3: Cross multiply
    2,157.92x = 3,236.88 × 1,183.76
  4. Step 4: Simplify right side
    2,157.92x = 3,831,689.07
  5. Step 5: Solve for x
    x = 3,831,689.07/2,157.92
  6. Step 6: Final answer
    x = 1,775.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.