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Finding the Fourth Proportional to 2,038.26, 3,057.95 and 998.26

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Solution

The fourth proportional to 2,038.26, 3,057.95 and 998.26 is: 1,497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.26 : 3,057.95 = 998.26 : x
  2. Step 2: Convert to fraction form
    2,038.26/3,057.95 = 998.26/x
  3. Step 3: Cross multiply
    2,038.26x = 3,057.95 × 998.26
  4. Step 4: Simplify right side
    2,038.26x = 3,052,624.02
  5. Step 5: Solve for x
    x = 3,052,624.02/2,038.26
  6. Step 6: Final answer
    x = 1,497.66

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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.