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Finding the Fourth Proportional to 1,540.67, 2,126.09 and 842.05

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Solution

The fourth proportional to 1,540.67, 2,126.09 and 842.05 is: 1,162.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.67 : 2,126.09 = 842.05 : x
  2. Step 2: Convert to fraction form
    1,540.67/2,126.09 = 842.05/x
  3. Step 3: Cross multiply
    1,540.67x = 2,126.09 × 842.05
  4. Step 4: Simplify right side
    1,540.67x = 1,790,274.08
  5. Step 5: Solve for x
    x = 1,790,274.08/1,540.67
  6. Step 6: Final answer
    x = 1,162.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.