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Finding the Fourth Proportional to 4,111.82, 6,167.19 and 1,646.66

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Solution

The fourth proportional to 4,111.82, 6,167.19 and 1,646.66 is: 2,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,111.82 : 6,167.19 = 1,646.66 : x
  2. Step 2: Convert to fraction form
    4,111.82/6,167.19 = 1,646.66/x
  3. Step 3: Cross multiply
    4,111.82x = 6,167.19 × 1,646.66
  4. Step 4: Simplify right side
    4,111.82x = 10,155,256.85
  5. Step 5: Solve for x
    x = 10,155,256.85/4,111.82
  6. Step 6: Final answer
    x = 2,469.77

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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.