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Finding the Fourth Proportional to 1,832.96, 2,750.33 and 1,139.45

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Solution

The fourth proportional to 1,832.96, 2,750.33 and 1,139.45 is: 1,709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.96 : 2,750.33 = 1,139.45 : x
  2. Step 2: Convert to fraction form
    1,832.96/2,750.33 = 1,139.45/x
  3. Step 3: Cross multiply
    1,832.96x = 2,750.33 × 1,139.45
  4. Step 4: Simplify right side
    1,832.96x = 3,133,844.07
  5. Step 5: Solve for x
    x = 3,133,844.07/1,832.96
  6. Step 6: Final answer
    x = 1,709.72

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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.