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Finding the Fourth Proportional to 2,025.36, 3,038.10 and 726.83

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Solution

The fourth proportional to 2,025.36, 3,038.10 and 726.83 is: 1,090.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.36 : 3,038.10 = 726.83 : x
  2. Step 2: Convert to fraction form
    2,025.36/3,038.10 = 726.83/x
  3. Step 3: Cross multiply
    2,025.36x = 3,038.10 × 726.83
  4. Step 4: Simplify right side
    2,025.36x = 2,208,167.03
  5. Step 5: Solve for x
    x = 2,208,167.03/2,025.36
  6. Step 6: Final answer
    x = 1,090.26

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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.