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Finding the Fourth Proportional to 3,176.55, 4,383.63 and 1,832.16

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Solution

The fourth proportional to 3,176.55, 4,383.63 and 1,832.16 is: 2,528.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.55 : 4,383.63 = 1,832.16 : x
  2. Step 2: Convert to fraction form
    3,176.55/4,383.63 = 1,832.16/x
  3. Step 3: Cross multiply
    3,176.55x = 4,383.63 × 1,832.16
  4. Step 4: Simplify right side
    3,176.55x = 8,031,511.54
  5. Step 5: Solve for x
    x = 8,031,511.54/3,176.55
  6. Step 6: Final answer
    x = 2,528.38

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Why These Related Problems?

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