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Finding the Fourth Proportional to 2,774.53, 4,162.20 and 826.75

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Solution

The fourth proportional to 2,774.53, 4,162.20 and 826.75 is: 1,240.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.53 : 4,162.20 = 826.75 : x
  2. Step 2: Convert to fraction form
    2,774.53/4,162.20 = 826.75/x
  3. Step 3: Cross multiply
    2,774.53x = 4,162.20 × 826.75
  4. Step 4: Simplify right side
    2,774.53x = 3,441,098.85
  5. Step 5: Solve for x
    x = 3,441,098.85/2,774.53
  6. Step 6: Final answer
    x = 1,240.25

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1.5x scale

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.