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Finding the Fourth Proportional to 3,169.47, 4,751.63 and 1,321.96

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Solution

The fourth proportional to 3,169.47, 4,751.63 and 1,321.96 is: 1,981.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.47 : 4,751.63 = 1,321.96 : x
  2. Step 2: Convert to fraction form
    3,169.47/4,751.63 = 1,321.96/x
  3. Step 3: Cross multiply
    3,169.47x = 4,751.63 × 1,321.96
  4. Step 4: Simplify right side
    3,169.47x = 6,281,464.79
  5. Step 5: Solve for x
    x = 6,281,464.79/3,169.47
  6. Step 6: Final answer
    x = 1,981.87

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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.