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Finding the Fourth Proportional to 2,967.40, 4,436.70 and 2,189.80

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Solution

The fourth proportional to 2,967.40, 4,436.70 and 2,189.80 is: 3,274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.40 : 4,436.70 = 2,189.80 : x
  2. Step 2: Convert to fraction form
    2,967.40/4,436.70 = 2,189.80/x
  3. Step 3: Cross multiply
    2,967.40x = 4,436.70 × 2,189.80
  4. Step 4: Simplify right side
    2,967.40x = 9,715,485.66
  5. Step 5: Solve for x
    x = 9,715,485.66/2,967.40
  6. Step 6: Final answer
    x = 3,274.07

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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.