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Finding the Fourth Proportional to 2,110.05, 3,165.07 and 550.05

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Solution

The fourth proportional to 2,110.05, 3,165.07 and 550.05 is: 825.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.05 : 3,165.07 = 550.05 : x
  2. Step 2: Convert to fraction form
    2,110.05/3,165.07 = 550.05/x
  3. Step 3: Cross multiply
    2,110.05x = 3,165.07 × 550.05
  4. Step 4: Simplify right side
    2,110.05x = 1,740,928.18
  5. Step 5: Solve for x
    x = 1,740,928.18/2,110.05
  6. Step 6: Final answer
    x = 825.06

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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.