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Finding the Fourth Proportional to 2,655.38, 3,983.10 and 1,682.16

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Solution

The fourth proportional to 2,655.38, 3,983.10 and 1,682.16 is: 2,523.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.38 : 3,983.10 = 1,682.16 : x
  2. Step 2: Convert to fraction form
    2,655.38/3,983.10 = 1,682.16/x
  3. Step 3: Cross multiply
    2,655.38x = 3,983.10 × 1,682.16
  4. Step 4: Simplify right side
    2,655.38x = 6,700,211.50
  5. Step 5: Solve for x
    x = 6,700,211.50/2,655.38
  6. Step 6: Final answer
    x = 2,523.26

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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.