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Finding the Fourth Proportional to 3,137.42, 4,706.86 and 1,189.64

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Solution

The fourth proportional to 3,137.42, 4,706.86 and 1,189.64 is: 1,784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.42 : 4,706.86 = 1,189.64 : x
  2. Step 2: Convert to fraction form
    3,137.42/4,706.86 = 1,189.64/x
  3. Step 3: Cross multiply
    3,137.42x = 4,706.86 × 1,189.64
  4. Step 4: Simplify right side
    3,137.42x = 5,599,468.93
  5. Step 5: Solve for x
    x = 5,599,468.93/3,137.42
  6. Step 6: Final answer
    x = 1,784.74

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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.