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Finding the Fourth Proportional to 4,769.50, 7,155.34 and 1,691.50

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Solution

The fourth proportional to 4,769.50, 7,155.34 and 1,691.50 is: 2,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.50 : 7,155.34 = 1,691.50 : x
  2. Step 2: Convert to fraction form
    4,769.50/7,155.34 = 1,691.50/x
  3. Step 3: Cross multiply
    4,769.50x = 7,155.34 × 1,691.50
  4. Step 4: Simplify right side
    4,769.50x = 12,103,257.61
  5. Step 5: Solve for x
    x = 12,103,257.61/4,769.50
  6. Step 6: Final answer
    x = 2,537.64

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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.