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Finding the Fourth Proportional to 2,649.78, 3,974.94 and 702

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Solution

The fourth proportional to 2,649.78, 3,974.94 and 702 is: 1,053.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.78 : 3,974.94 = 702 : x
  2. Step 2: Convert to fraction form
    2,649.78/3,974.94 = 702/x
  3. Step 3: Cross multiply
    2,649.78x = 3,974.94 × 702
  4. Step 4: Simplify right side
    2,649.78x = 2,790,407.88
  5. Step 5: Solve for x
    x = 2,790,407.88/2,649.78
  6. Step 6: Final answer
    x = 1,053.07

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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.