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Finding the Fourth Proportional to 2,536.28, 3,498.36 and 1,540.88

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Solution

The fourth proportional to 2,536.28, 3,498.36 and 1,540.88 is: 2,125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.28 : 3,498.36 = 1,540.88 : x
  2. Step 2: Convert to fraction form
    2,536.28/3,498.36 = 1,540.88/x
  3. Step 3: Cross multiply
    2,536.28x = 3,498.36 × 1,540.88
  4. Step 4: Simplify right side
    2,536.28x = 5,390,552.96
  5. Step 5: Solve for x
    x = 5,390,552.96/2,536.28
  6. Step 6: Final answer
    x = 2,125.38

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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.