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Finding the Fourth Proportional to 2,566.73, 3,846.27 and 2,107.73

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Solution

The fourth proportional to 2,566.73, 3,846.27 and 2,107.73 is: 3,158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.73 : 3,846.27 = 2,107.73 : x
  2. Step 2: Convert to fraction form
    2,566.73/3,846.27 = 2,107.73/x
  3. Step 3: Cross multiply
    2,566.73x = 3,846.27 × 2,107.73
  4. Step 4: Simplify right side
    2,566.73x = 8,106,898.67
  5. Step 5: Solve for x
    x = 8,106,898.67/2,566.73
  6. Step 6: Final answer
    x = 3,158.45

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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.