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Finding the Fourth Proportional to 2,832.38, 4,250.28 and 1,790.94

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Solution

The fourth proportional to 2,832.38, 4,250.28 and 1,790.94 is: 2,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.38 : 4,250.28 = 1,790.94 : x
  2. Step 2: Convert to fraction form
    2,832.38/4,250.28 = 1,790.94/x
  3. Step 3: Cross multiply
    2,832.38x = 4,250.28 × 1,790.94
  4. Step 4: Simplify right side
    2,832.38x = 7,611,996.46
  5. Step 5: Solve for x
    x = 7,611,996.46/2,832.38
  6. Step 6: Final answer
    x = 2,687.50

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Why These Related Problems?

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