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Finding the Fourth Proportional to 3,137.41, 4,706.73 and 1,189.57

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Solution

The fourth proportional to 3,137.41, 4,706.73 and 1,189.57 is: 1,784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.41 : 4,706.73 = 1,189.57 : x
  2. Step 2: Convert to fraction form
    3,137.41/4,706.73 = 1,189.57/x
  3. Step 3: Cross multiply
    3,137.41x = 4,706.73 × 1,189.57
  4. Step 4: Simplify right side
    3,137.41x = 5,598,984.81
  5. Step 5: Solve for x
    x = 5,598,984.81/3,137.41
  6. Step 6: Final answer
    x = 1,784.59

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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.