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Finding the Fourth Proportional to 3,166.53, 4,370.35 and 1,841

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Solution

The fourth proportional to 3,166.53, 4,370.35 and 1,841 is: 2,540.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.53 : 4,370.35 = 1,841 : x
  2. Step 2: Convert to fraction form
    3,166.53/4,370.35 = 1,841/x
  3. Step 3: Cross multiply
    3,166.53x = 4,370.35 × 1,841
  4. Step 4: Simplify right side
    3,166.53x = 8,045,814.35
  5. Step 5: Solve for x
    x = 8,045,814.35/3,166.53
  6. Step 6: Final answer
    x = 2,540.90

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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.