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Finding the Fourth Proportional to 3,188.96, 4,783.44 and 997.89

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Solution

The fourth proportional to 3,188.96, 4,783.44 and 997.89 is: 1,496.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.96 : 4,783.44 = 997.89 : x
  2. Step 2: Convert to fraction form
    3,188.96/4,783.44 = 997.89/x
  3. Step 3: Cross multiply
    3,188.96x = 4,783.44 × 997.89
  4. Step 4: Simplify right side
    3,188.96x = 4,773,346.94
  5. Step 5: Solve for x
    x = 4,773,346.94/3,188.96
  6. Step 6: Final answer
    x = 1,496.84

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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.