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Finding the Fourth Proportional to 1,763.64, 2,646.09 and 827.43

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Solution

The fourth proportional to 1,763.64, 2,646.09 and 827.43 is: 1,241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.64 : 2,646.09 = 827.43 : x
  2. Step 2: Convert to fraction form
    1,763.64/2,646.09 = 827.43/x
  3. Step 3: Cross multiply
    1,763.64x = 2,646.09 × 827.43
  4. Step 4: Simplify right side
    1,763.64x = 2,189,454.25
  5. Step 5: Solve for x
    x = 2,189,454.25/1,763.64
  6. Step 6: Final answer
    x = 1,241.44

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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.