Home / 4,111.92-6,167.40-1,646.64

Finding the Fourth Proportional to 4,111.92, 6,167.40 and 1,646.64

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Solution

The fourth proportional to 4,111.92, 6,167.40 and 1,646.64 is: 2,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,111.92 : 6,167.40 = 1,646.64 : x
  2. Step 2: Convert to fraction form
    4,111.92/6,167.40 = 1,646.64/x
  3. Step 3: Cross multiply
    4,111.92x = 6,167.40 × 1,646.64
  4. Step 4: Simplify right side
    4,111.92x = 10,155,487.54
  5. Step 5: Solve for x
    x = 10,155,487.54/4,111.92
  6. Step 6: Final answer
    x = 2,469.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.