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Finding the Fourth Proportional to 4,129.60, 6,196.23 and 1,669.22

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Solution

The fourth proportional to 4,129.60, 6,196.23 and 1,669.22 is: 2,504.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.60 : 6,196.23 = 1,669.22 : x
  2. Step 2: Convert to fraction form
    4,129.60/6,196.23 = 1,669.22/x
  3. Step 3: Cross multiply
    4,129.60x = 6,196.23 × 1,669.22
  4. Step 4: Simplify right side
    4,129.60x = 10,342,862.69
  5. Step 5: Solve for x
    x = 10,342,862.69/4,129.60
  6. Step 6: Final answer
    x = 2,504.57

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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.