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Finding the Fourth Proportional to 2,025.82, 3,036.90 and 726.98

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Solution

The fourth proportional to 2,025.82, 3,036.90 and 726.98 is: 1,089.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.82 : 3,036.90 = 726.98 : x
  2. Step 2: Convert to fraction form
    2,025.82/3,036.90 = 726.98/x
  3. Step 3: Cross multiply
    2,025.82x = 3,036.90 × 726.98
  4. Step 4: Simplify right side
    2,025.82x = 2,207,773.15
  5. Step 5: Solve for x
    x = 2,207,773.15/2,025.82
  6. Step 6: Final answer
    x = 1,089.82

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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.