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Finding the Fourth Proportional to 2,983.38, 4,475.18 and 792.33

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Solution

The fourth proportional to 2,983.38, 4,475.18 and 792.33 is: 1,188.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.38 : 4,475.18 = 792.33 : x
  2. Step 2: Convert to fraction form
    2,983.38/4,475.18 = 792.33/x
  3. Step 3: Cross multiply
    2,983.38x = 4,475.18 × 792.33
  4. Step 4: Simplify right side
    2,983.38x = 3,545,819.37
  5. Step 5: Solve for x
    x = 3,545,819.37/2,983.38
  6. Step 6: Final answer
    x = 1,188.52

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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.