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Finding the Fourth Proportional to 4,171.49, 6,257.20 and 1,673.80

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Solution

The fourth proportional to 4,171.49, 6,257.20 and 1,673.80 is: 2,510.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.49 : 6,257.20 = 1,673.80 : x
  2. Step 2: Convert to fraction form
    4,171.49/6,257.20 = 1,673.80/x
  3. Step 3: Cross multiply
    4,171.49x = 6,257.20 × 1,673.80
  4. Step 4: Simplify right side
    4,171.49x = 10,473,301.36
  5. Step 5: Solve for x
    x = 10,473,301.36/4,171.49
  6. Step 6: Final answer
    x = 2,510.69

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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.