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Finding the Fourth Proportional to 2,586.22, 3,878.36 and 830.76

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Solution

The fourth proportional to 2,586.22, 3,878.36 and 830.76 is: 1,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.22 : 3,878.36 = 830.76 : x
  2. Step 2: Convert to fraction form
    2,586.22/3,878.36 = 830.76/x
  3. Step 3: Cross multiply
    2,586.22x = 3,878.36 × 830.76
  4. Step 4: Simplify right side
    2,586.22x = 3,221,986.35
  5. Step 5: Solve for x
    x = 3,221,986.35/2,586.22
  6. Step 6: Final answer
    x = 1,245.83

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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.