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Finding the Fourth Proportional to 1,693.64, 2,540.38 and 827.08

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Solution

The fourth proportional to 1,693.64, 2,540.38 and 827.08 is: 1,240.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.64 : 2,540.38 = 827.08 : x
  2. Step 2: Convert to fraction form
    1,693.64/2,540.38 = 827.08/x
  3. Step 3: Cross multiply
    1,693.64x = 2,540.38 × 827.08
  4. Step 4: Simplify right side
    1,693.64x = 2,101,097.49
  5. Step 5: Solve for x
    x = 2,101,097.49/1,693.64
  6. Step 6: Final answer
    x = 1,240.58

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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.