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Finding the Fourth Proportional to 1,814.07, 2,721.68 and 827.19

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Solution

The fourth proportional to 1,814.07, 2,721.68 and 827.19 is: 1,241.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.07 : 2,721.68 = 827.19 : x
  2. Step 2: Convert to fraction form
    1,814.07/2,721.68 = 827.19/x
  3. Step 3: Cross multiply
    1,814.07x = 2,721.68 × 827.19
  4. Step 4: Simplify right side
    1,814.07x = 2,251,335.46
  5. Step 5: Solve for x
    x = 2,251,335.46/1,814.07
  6. Step 6: Final answer
    x = 1,241.04

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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.