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Finding the Fourth Proportional to 3,173.34, 4,378.14 and 1,845.96

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Solution

The fourth proportional to 3,173.34, 4,378.14 and 1,845.96 is: 2,546.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.34 : 4,378.14 = 1,845.96 : x
  2. Step 2: Convert to fraction form
    3,173.34/4,378.14 = 1,845.96/x
  3. Step 3: Cross multiply
    3,173.34x = 4,378.14 × 1,845.96
  4. Step 4: Simplify right side
    3,173.34x = 8,081,871.31
  5. Step 5: Solve for x
    x = 8,081,871.31/3,173.34
  6. Step 6: Final answer
    x = 2,546.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.