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Finding the Fourth Proportional to 3,171.45, 4,758.55 and 1,322.93

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Solution

The fourth proportional to 3,171.45, 4,758.55 and 1,322.93 is: 1,984.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.45 : 4,758.55 = 1,322.93 : x
  2. Step 2: Convert to fraction form
    3,171.45/4,758.55 = 1,322.93/x
  3. Step 3: Cross multiply
    3,171.45x = 4,758.55 × 1,322.93
  4. Step 4: Simplify right side
    3,171.45x = 6,295,237.14
  5. Step 5: Solve for x
    x = 6,295,237.14/3,171.45
  6. Step 6: Final answer
    x = 1,984.97

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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.