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Finding the Fourth Proportional to 2,562.24, 3,843.36 and 830.88

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Solution

The fourth proportional to 2,562.24, 3,843.36 and 830.88 is: 1,246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.24 : 3,843.36 = 830.88 : x
  2. Step 2: Convert to fraction form
    2,562.24/3,843.36 = 830.88/x
  3. Step 3: Cross multiply
    2,562.24x = 3,843.36 × 830.88
  4. Step 4: Simplify right side
    2,562.24x = 3,193,370.96
  5. Step 5: Solve for x
    x = 3,193,370.96/2,562.24
  6. Step 6: Final answer
    x = 1,246.32

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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.