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Finding the Fourth Proportional to 3,189.30, 4,784.40 and 997.80

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Solution

The fourth proportional to 3,189.30, 4,784.40 and 997.80 is: 1,496.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.30 : 4,784.40 = 997.80 : x
  2. Step 2: Convert to fraction form
    3,189.30/4,784.40 = 997.80/x
  3. Step 3: Cross multiply
    3,189.30x = 4,784.40 × 997.80
  4. Step 4: Simplify right side
    3,189.30x = 4,773,874.32
  5. Step 5: Solve for x
    x = 4,773,874.32/3,189.30
  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.