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Finding the Fourth Proportional to 3,137.31, 4,706.19 and 1,189.50

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Solution

The fourth proportional to 3,137.31, 4,706.19 and 1,189.50 is: 1,784.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.31 : 4,706.19 = 1,189.50 : x
  2. Step 2: Convert to fraction form
    3,137.31/4,706.19 = 1,189.50/x
  3. Step 3: Cross multiply
    3,137.31x = 4,706.19 × 1,189.50
  4. Step 4: Simplify right side
    3,137.31x = 5,598,013.01
  5. Step 5: Solve for x
    x = 5,598,013.01/3,137.31
  6. Step 6: Final answer
    x = 1,784.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.