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Finding the Fourth Proportional to 4,260.98, 6,391.02 and 1,141.31

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Solution

The fourth proportional to 4,260.98, 6,391.02 and 1,141.31 is: 1,711.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,260.98 : 6,391.02 = 1,141.31 : x
  2. Step 2: Convert to fraction form
    4,260.98/6,391.02 = 1,141.31/x
  3. Step 3: Cross multiply
    4,260.98x = 6,391.02 × 1,141.31
  4. Step 4: Simplify right side
    4,260.98x = 7,294,100.94
  5. Step 5: Solve for x
    x = 7,294,100.94/4,260.98
  6. Step 6: Final answer
    x = 1,711.84

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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.