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Finding the Fourth Proportional to 3,007.44, 4,512.12 and 1,159.44

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Solution

The fourth proportional to 3,007.44, 4,512.12 and 1,159.44 is: 1,739.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.44 : 4,512.12 = 1,159.44 : x
  2. Step 2: Convert to fraction form
    3,007.44/4,512.12 = 1,159.44/x
  3. Step 3: Cross multiply
    3,007.44x = 4,512.12 × 1,159.44
  4. Step 4: Simplify right side
    3,007.44x = 5,231,532.41
  5. Step 5: Solve for x
    x = 5,231,532.41/3,007.44
  6. Step 6: Final answer
    x = 1,739.53

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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.