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Finding the Fourth Proportional to 2,137.50, 3,207.70 and 769.50

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Solution

The fourth proportional to 2,137.50, 3,207.70 and 769.50 is: 1,154.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.50 : 3,207.70 = 769.50 : x
  2. Step 2: Convert to fraction form
    2,137.50/3,207.70 = 769.50/x
  3. Step 3: Cross multiply
    2,137.50x = 3,207.70 × 769.50
  4. Step 4: Simplify right side
    2,137.50x = 2,468,325.15
  5. Step 5: Solve for x
    x = 2,468,325.15/2,137.50
  6. Step 6: Final answer
    x = 1,154.77

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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.