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Finding the Fourth Proportional to 3,169.46, 4,751.60 and 1,321.94

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Solution

The fourth proportional to 3,169.46, 4,751.60 and 1,321.94 is: 1,981.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.46 : 4,751.60 = 1,321.94 : x
  2. Step 2: Convert to fraction form
    3,169.46/4,751.60 = 1,321.94/x
  3. Step 3: Cross multiply
    3,169.46x = 4,751.60 × 1,321.94
  4. Step 4: Simplify right side
    3,169.46x = 6,281,335.37
  5. Step 5: Solve for x
    x = 6,281,335.37/3,169.46
  6. Step 6: Final answer
    x = 1,981.83

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