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Finding the Fourth Proportional to 1,939.38, 2,907.90 and 842.82

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Solution

The fourth proportional to 1,939.38, 2,907.90 and 842.82 is: 1,263.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.38 : 2,907.90 = 842.82 : x
  2. Step 2: Convert to fraction form
    1,939.38/2,907.90 = 842.82/x
  3. Step 3: Cross multiply
    1,939.38x = 2,907.90 × 842.82
  4. Step 4: Simplify right side
    1,939.38x = 2,450,836.28
  5. Step 5: Solve for x
    x = 2,450,836.28/1,939.38
  6. Step 6: Final answer
    x = 1,263.72

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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.