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Finding the Fourth Proportional to 4,487.67, 6,731.87 and 1,200.74

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Solution

The fourth proportional to 4,487.67, 6,731.87 and 1,200.74 is: 1,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,487.67 : 6,731.87 = 1,200.74 : x
  2. Step 2: Convert to fraction form
    4,487.67/6,731.87 = 1,200.74/x
  3. Step 3: Cross multiply
    4,487.67x = 6,731.87 × 1,200.74
  4. Step 4: Simplify right side
    4,487.67x = 8,083,185.92
  5. Step 5: Solve for x
    x = 8,083,185.92/4,487.67
  6. Step 6: Final answer
    x = 1,801.20

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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.