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Finding the Fourth Proportional to 2,649.64, 3,974.99 and 800.67

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Solution

The fourth proportional to 2,649.64, 3,974.99 and 800.67 is: 1,201.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.64 : 3,974.99 = 800.67 : x
  2. Step 2: Convert to fraction form
    2,649.64/3,974.99 = 800.67/x
  3. Step 3: Cross multiply
    2,649.64x = 3,974.99 × 800.67
  4. Step 4: Simplify right side
    2,649.64x = 3,182,655.24
  5. Step 5: Solve for x
    x = 3,182,655.24/2,649.64
  6. Step 6: Final answer
    x = 1,201.17

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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.