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Finding the Fourth Proportional to 3,267.30, 4,899.84 and 1,951.50

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Solution

The fourth proportional to 3,267.30, 4,899.84 and 1,951.50 is: 2,926.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.30 : 4,899.84 = 1,951.50 : x
  2. Step 2: Convert to fraction form
    3,267.30/4,899.84 = 1,951.50/x
  3. Step 3: Cross multiply
    3,267.30x = 4,899.84 × 1,951.50
  4. Step 4: Simplify right side
    3,267.30x = 9,562,037.76
  5. Step 5: Solve for x
    x = 9,562,037.76/3,267.30
  6. Step 6: Final answer
    x = 2,926.59

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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.