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Finding the Fourth Proportional to 2,694.83, 4,042.25 and 846.09

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Solution

The fourth proportional to 2,694.83, 4,042.25 and 846.09 is: 1,269.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.83 : 4,042.25 = 846.09 : x
  2. Step 2: Convert to fraction form
    2,694.83/4,042.25 = 846.09/x
  3. Step 3: Cross multiply
    2,694.83x = 4,042.25 × 846.09
  4. Step 4: Simplify right side
    2,694.83x = 3,420,109.55
  5. Step 5: Solve for x
    x = 3,420,109.55/2,694.83
  6. Step 6: Final answer
    x = 1,269.14

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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.