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Finding the Fourth Proportional to 2,536.46, 3,500.90 and 1,650.72

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Solution

The fourth proportional to 2,536.46, 3,500.90 and 1,650.72 is: 2,278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.46 : 3,500.90 = 1,650.72 : x
  2. Step 2: Convert to fraction form
    2,536.46/3,500.90 = 1,650.72/x
  3. Step 3: Cross multiply
    2,536.46x = 3,500.90 × 1,650.72
  4. Step 4: Simplify right side
    2,536.46x = 5,778,997.39
  5. Step 5: Solve for x
    x = 5,778,997.39/2,536.46
  6. Step 6: Final answer
    x = 2,278.38

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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.