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Finding the Fourth Proportional to 4,243.40, 6,365.70 and 1,321.40

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Solution

The fourth proportional to 4,243.40, 6,365.70 and 1,321.40 is: 1,982.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.40 : 6,365.70 = 1,321.40 : x
  2. Step 2: Convert to fraction form
    4,243.40/6,365.70 = 1,321.40/x
  3. Step 3: Cross multiply
    4,243.40x = 6,365.70 × 1,321.40
  4. Step 4: Simplify right side
    4,243.40x = 8,411,635.98
  5. Step 5: Solve for x
    x = 8,411,635.98/4,243.40
  6. Step 6: Final answer
    x = 1,982.29

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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.