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Finding the Fourth Proportional to 2,112.89, 3,164.47 and 2,012.45

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Solution

The fourth proportional to 2,112.89, 3,164.47 and 2,012.45 is: 3,014.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.89 : 3,164.47 = 2,012.45 : x
  2. Step 2: Convert to fraction form
    2,112.89/3,164.47 = 2,012.45/x
  3. Step 3: Cross multiply
    2,112.89x = 3,164.47 × 2,012.45
  4. Step 4: Simplify right side
    2,112.89x = 6,368,316.80
  5. Step 5: Solve for x
    x = 6,368,316.80/2,112.89
  6. Step 6: Final answer
    x = 3,014.04

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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.