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Finding the Fourth Proportional to 2,843.96, 4,262.27 and 2,813.00

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Solution

The fourth proportional to 2,843.96, 4,262.27 and 2,813.00 is: 4,215.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.96 : 4,262.27 = 2,813.00 : x
  2. Step 2: Convert to fraction form
    2,843.96/4,262.27 = 2,813.00/x
  3. Step 3: Cross multiply
    2,843.96x = 4,262.27 × 2,813.00
  4. Step 4: Simplify right side
    2,843.96x = 11,989,730.13
  5. Step 5: Solve for x
    x = 11,989,730.13/2,843.96
  6. Step 6: Final answer
    x = 4,215.86

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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.