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Finding the Fourth Proportional to 4,173.90, 6,255.33 and 1,830.37

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Solution

The fourth proportional to 4,173.90, 6,255.33 and 1,830.37 is: 2,743.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,173.90 : 6,255.33 = 1,830.37 : x
  2. Step 2: Convert to fraction form
    4,173.90/6,255.33 = 1,830.37/x
  3. Step 3: Cross multiply
    4,173.90x = 6,255.33 × 1,830.37
  4. Step 4: Simplify right side
    4,173.90x = 11,449,568.37
  5. Step 5: Solve for x
    x = 11,449,568.37/4,173.90
  6. Step 6: Final answer
    x = 2,743.13

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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.