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Finding the Fourth Proportional to 2,309.88, 3,465.82 and 849.44

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Solution

The fourth proportional to 2,309.88, 3,465.82 and 849.44 is: 1,274.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.88 : 3,465.82 = 849.44 : x
  2. Step 2: Convert to fraction form
    2,309.88/3,465.82 = 849.44/x
  3. Step 3: Cross multiply
    2,309.88x = 3,465.82 × 849.44
  4. Step 4: Simplify right side
    2,309.88x = 2,944,006.14
  5. Step 5: Solve for x
    x = 2,944,006.14/2,309.88
  6. Step 6: Final answer
    x = 1,274.53

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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.