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Finding the Fourth Proportional to 2,012.96, 3,019.44 and 1,180.28

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Solution

The fourth proportional to 2,012.96, 3,019.44 and 1,180.28 is: 1,770.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.96 : 3,019.44 = 1,180.28 : x
  2. Step 2: Convert to fraction form
    2,012.96/3,019.44 = 1,180.28/x
  3. Step 3: Cross multiply
    2,012.96x = 3,019.44 × 1,180.28
  4. Step 4: Simplify right side
    2,012.96x = 3,563,784.64
  5. Step 5: Solve for x
    x = 3,563,784.64/2,012.96
  6. Step 6: Final answer
    x = 1,770.42

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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.