Home / 2,110.49-3,166.19-649.75

Finding the Fourth Proportional to 2,110.49, 3,166.19 and 649.75

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Solution

The fourth proportional to 2,110.49, 3,166.19 and 649.75 is: 974.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.49 : 3,166.19 = 649.75 : x
  2. Step 2: Convert to fraction form
    2,110.49/3,166.19 = 649.75/x
  3. Step 3: Cross multiply
    2,110.49x = 3,166.19 × 649.75
  4. Step 4: Simplify right side
    2,110.49x = 2,057,231.95
  5. Step 5: Solve for x
    x = 2,057,231.95/2,110.49
  6. Step 6: Final answer
    x = 974.77

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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.