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Finding the Fourth Proportional to 2,025.44, 3,038.12 and 726.80

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Solution

The fourth proportional to 2,025.44, 3,038.12 and 726.80 is: 1,090.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.44 : 3,038.12 = 726.80 : x
  2. Step 2: Convert to fraction form
    2,025.44/3,038.12 = 726.80/x
  3. Step 3: Cross multiply
    2,025.44x = 3,038.12 × 726.80
  4. Step 4: Simplify right side
    2,025.44x = 2,208,105.62
  5. Step 5: Solve for x
    x = 2,208,105.62/2,025.44
  6. Step 6: Final answer
    x = 1,090.19

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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.