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Finding the Fourth Proportional to 2,038.24, 3,057.59 and 739.41

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Solution

The fourth proportional to 2,038.24, 3,057.59 and 739.41 is: 1,109.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.24 : 3,057.59 = 739.41 : x
  2. Step 2: Convert to fraction form
    2,038.24/3,057.59 = 739.41/x
  3. Step 3: Cross multiply
    2,038.24x = 3,057.59 × 739.41
  4. Step 4: Simplify right side
    2,038.24x = 2,260,797.33
  5. Step 5: Solve for x
    x = 2,260,797.33/2,038.24
  6. Step 6: Final answer
    x = 1,109.19

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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.