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Finding the Fourth Proportional to 2,983.39, 4,475.01 and 792.27

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Solution

The fourth proportional to 2,983.39, 4,475.01 and 792.27 is: 1,188.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.39 : 4,475.01 = 792.27 : x
  2. Step 2: Convert to fraction form
    2,983.39/4,475.01 = 792.27/x
  3. Step 3: Cross multiply
    2,983.39x = 4,475.01 × 792.27
  4. Step 4: Simplify right side
    2,983.39x = 3,545,416.17
  5. Step 5: Solve for x
    x = 3,545,416.17/2,983.39
  6. Step 6: Final answer
    x = 1,188.39

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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.