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Finding the Fourth Proportional to 2,112.85, 3,169.64 and 1,019.17

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Solution

The fourth proportional to 2,112.85, 3,169.64 and 1,019.17 is: 1,528.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.85 : 3,169.64 = 1,019.17 : x
  2. Step 2: Convert to fraction form
    2,112.85/3,169.64 = 1,019.17/x
  3. Step 3: Cross multiply
    2,112.85x = 3,169.64 × 1,019.17
  4. Step 4: Simplify right side
    2,112.85x = 3,230,402.00
  5. Step 5: Solve for x
    x = 3,230,402.00/2,112.85
  6. Step 6: Final answer
    x = 1,528.93

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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.