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Finding the Fourth Proportional to 2,682.83, 4,015.49 and 2,586.50

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Solution

The fourth proportional to 2,682.83, 4,015.49 and 2,586.50 is: 3,871.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.83 : 4,015.49 = 2,586.50 : x
  2. Step 2: Convert to fraction form
    2,682.83/4,015.49 = 2,586.50/x
  3. Step 3: Cross multiply
    2,682.83x = 4,015.49 × 2,586.50
  4. Step 4: Simplify right side
    2,682.83x = 10,386,031.88
  5. Step 5: Solve for x
    x = 10,386,031.88/2,682.83
  6. Step 6: Final answer
    x = 3,871.30

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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.