Home / 2,649.96-3,974.52-1,006.56

Finding the Fourth Proportional to 2,649.96, 3,974.52 and 1,006.56

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Solution

The fourth proportional to 2,649.96, 3,974.52 and 1,006.56 is: 1,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.96 : 3,974.52 = 1,006.56 : x
  2. Step 2: Convert to fraction form
    2,649.96/3,974.52 = 1,006.56/x
  3. Step 3: Cross multiply
    2,649.96x = 3,974.52 × 1,006.56
  4. Step 4: Simplify right side
    2,649.96x = 4,000,592.85
  5. Step 5: Solve for x
    x = 4,000,592.85/2,649.96
  6. Step 6: Final answer
    x = 1,509.68

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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.