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Finding the Fourth Proportional to 2,649.60, 3,974.22 and 1,263.96

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Solution

The fourth proportional to 2,649.60, 3,974.22 and 1,263.96 is: 1,895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.60 : 3,974.22 = 1,263.96 : x
  2. Step 2: Convert to fraction form
    2,649.60/3,974.22 = 1,263.96/x
  3. Step 3: Cross multiply
    2,649.60x = 3,974.22 × 1,263.96
  4. Step 4: Simplify right side
    2,649.60x = 5,023,255.11
  5. Step 5: Solve for x
    x = 5,023,255.11/2,649.60
  6. Step 6: Final answer
    x = 1,895.85

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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.