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Finding the Fourth Proportional to 2,237.49, 3,355.10 and 849.77

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Solution

The fourth proportional to 2,237.49, 3,355.10 and 849.77 is: 1,274.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.49 : 3,355.10 = 849.77 : x
  2. Step 2: Convert to fraction form
    2,237.49/3,355.10 = 849.77/x
  3. Step 3: Cross multiply
    2,237.49x = 3,355.10 × 849.77
  4. Step 4: Simplify right side
    2,237.49x = 2,851,063.33
  5. Step 5: Solve for x
    x = 2,851,063.33/2,237.49
  6. Step 6: Final answer
    x = 1,274.22

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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.