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Finding the Fourth Proportional to 2,605.23, 3,908.19 and 849.62

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Solution

The fourth proportional to 2,605.23, 3,908.19 and 849.62 is: 1,274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.23 : 3,908.19 = 849.62 : x
  2. Step 2: Convert to fraction form
    2,605.23/3,908.19 = 849.62/x
  3. Step 3: Cross multiply
    2,605.23x = 3,908.19 × 849.62
  4. Step 4: Simplify right side
    2,605.23x = 3,320,482.02
  5. Step 5: Solve for x
    x = 3,320,482.02/2,605.23
  6. Step 6: Final answer
    x = 1,274.54

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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.