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Finding the Fourth Proportional to 4,864.40, 7,299.60 and 1,942.40

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Solution

The fourth proportional to 4,864.40, 7,299.60 and 1,942.40 is: 2,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.40 : 7,299.60 = 1,942.40 : x
  2. Step 2: Convert to fraction form
    4,864.40/7,299.60 = 1,942.40/x
  3. Step 3: Cross multiply
    4,864.40x = 7,299.60 × 1,942.40
  4. Step 4: Simplify right side
    4,864.40x = 14,178,743.04
  5. Step 5: Solve for x
    x = 14,178,743.04/4,864.40
  6. Step 6: Final answer
    x = 2,914.80

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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.