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Finding the Fourth Proportional to 2,111, 3,166.44 and 649.94

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Solution

The fourth proportional to 2,111, 3,166.44 and 649.94 is: 974.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111 : 3,166.44 = 649.94 : x
  2. Step 2: Convert to fraction form
    2,111/3,166.44 = 649.94/x
  3. Step 3: Cross multiply
    2,111x = 3,166.44 × 649.94
  4. Step 4: Simplify right side
    2,111x = 2,057,996.01
  5. Step 5: Solve for x
    x = 2,057,996.01/2,111
  6. Step 6: Final answer
    x = 974.89

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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.