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Finding the Fourth Proportional to 4,761.96, 7,142.94 and 1,299.24

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Solution

The fourth proportional to 4,761.96, 7,142.94 and 1,299.24 is: 1,948.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.96 : 7,142.94 = 1,299.24 : x
  2. Step 2: Convert to fraction form
    4,761.96/7,142.94 = 1,299.24/x
  3. Step 3: Cross multiply
    4,761.96x = 7,142.94 × 1,299.24
  4. Step 4: Simplify right side
    4,761.96x = 9,280,393.37
  5. Step 5: Solve for x
    x = 9,280,393.37/4,761.96
  6. Step 6: Final answer
    x = 1,948.86

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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.