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Finding the Fourth Proportional to 1,540.64, 2,126.09 and 842.02

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Solution

The fourth proportional to 1,540.64, 2,126.09 and 842.02 is: 1,161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.64 : 2,126.09 = 842.02 : x
  2. Step 2: Convert to fraction form
    1,540.64/2,126.09 = 842.02/x
  3. Step 3: Cross multiply
    1,540.64x = 2,126.09 × 842.02
  4. Step 4: Simplify right side
    1,540.64x = 1,790,196.79
  5. Step 5: Solve for x
    x = 1,790,196.79/1,540.64
  6. Step 6: Final answer
    x = 1,161.98

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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.