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Finding the Fourth Proportional to 2,774.42, 4,161.86 and 826.63

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Solution

The fourth proportional to 2,774.42, 4,161.86 and 826.63 is: 1,240.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.42 : 4,161.86 = 826.63 : x
  2. Step 2: Convert to fraction form
    2,774.42/4,161.86 = 826.63/x
  3. Step 3: Cross multiply
    2,774.42x = 4,161.86 × 826.63
  4. Step 4: Simplify right side
    2,774.42x = 3,440,318.33
  5. Step 5: Solve for x
    x = 3,440,318.33/2,774.42
  6. Step 6: Final answer
    x = 1,240.01

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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.