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Finding the Fourth Proportional to 3,171.89, 4,758.48 and 1,530.43

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Solution

The fourth proportional to 3,171.89, 4,758.48 and 1,530.43 is: 2,295.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.89 : 4,758.48 = 1,530.43 : x
  2. Step 2: Convert to fraction form
    3,171.89/4,758.48 = 1,530.43/x
  3. Step 3: Cross multiply
    3,171.89x = 4,758.48 × 1,530.43
  4. Step 4: Simplify right side
    3,171.89x = 7,282,508.65
  5. Step 5: Solve for x
    x = 7,282,508.65/3,171.89
  6. Step 6: Final answer
    x = 2,295.95

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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.