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Finding the Fourth Proportional to 2,409.07, 3,614.49 and 849.25

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Solution

The fourth proportional to 2,409.07, 3,614.49 and 849.25 is: 1,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.07 : 3,614.49 = 849.25 : x
  2. Step 2: Convert to fraction form
    2,409.07/3,614.49 = 849.25/x
  3. Step 3: Cross multiply
    2,409.07x = 3,614.49 × 849.25
  4. Step 4: Simplify right side
    2,409.07x = 3,069,605.63
  5. Step 5: Solve for x
    x = 3,069,605.63/2,409.07
  6. Step 6: Final answer
    x = 1,274.19

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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.