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Finding the Fourth Proportional to 2,663.67, 3,674.12 and 1,616.34

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Solution

The fourth proportional to 2,663.67, 3,674.12 and 1,616.34 is: 2,229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.67 : 3,674.12 = 1,616.34 : x
  2. Step 2: Convert to fraction form
    2,663.67/3,674.12 = 1,616.34/x
  3. Step 3: Cross multiply
    2,663.67x = 3,674.12 × 1,616.34
  4. Step 4: Simplify right side
    2,663.67x = 5,938,619.04
  5. Step 5: Solve for x
    x = 5,938,619.04/2,663.67
  6. Step 6: Final answer
    x = 2,229.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.