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Finding the Fourth Proportional to 7,028.48, 10,542.70 and 2,098

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Solution

The fourth proportional to 7,028.48, 10,542.70 and 2,098 is: 3,146.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.48 : 10,542.70 = 2,098 : x
  2. Step 2: Convert to fraction form
    7,028.48/10,542.70 = 2,098/x
  3. Step 3: Cross multiply
    7,028.48x = 10,542.70 × 2,098
  4. Step 4: Simplify right side
    7,028.48x = 22,118,584.60
  5. Step 5: Solve for x
    x = 22,118,584.60/7,028.48
  6. Step 6: Final answer
    x = 3,146.99

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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.