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Finding the Fourth Proportional to 2,558.55, 3,836.57 and 826.95

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Solution

The fourth proportional to 2,558.55, 3,836.57 and 826.95 is: 1,240.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.55 : 3,836.57 = 826.95 : x
  2. Step 2: Convert to fraction form
    2,558.55/3,836.57 = 826.95/x
  3. Step 3: Cross multiply
    2,558.55x = 3,836.57 × 826.95
  4. Step 4: Simplify right side
    2,558.55x = 3,172,647.43
  5. Step 5: Solve for x
    x = 3,172,647.43/2,558.55
  6. Step 6: Final answer
    x = 1,240.02

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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.