Home / 1,201.83-1,790.43-1,157.76

Finding the Fourth Proportional to 1,201.83, 1,790.43 and 1,157.76

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Solution

The fourth proportional to 1,201.83, 1,790.43 and 1,157.76 is: 1,724.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.83 : 1,790.43 = 1,157.76 : x
  2. Step 2: Convert to fraction form
    1,201.83/1,790.43 = 1,157.76/x
  3. Step 3: Cross multiply
    1,201.83x = 1,790.43 × 1,157.76
  4. Step 4: Simplify right side
    1,201.83x = 2,072,888.24
  5. Step 5: Solve for x
    x = 2,072,888.24/1,201.83
  6. Step 6: Final answer
    x = 1,724.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.