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Finding the Fourth Proportional to 1,548.57, 2,137 and 849.94

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Solution

The fourth proportional to 1,548.57, 2,137 and 849.94 is: 1,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.57 : 2,137 = 849.94 : x
  2. Step 2: Convert to fraction form
    1,548.57/2,137 = 849.94/x
  3. Step 3: Cross multiply
    1,548.57x = 2,137 × 849.94
  4. Step 4: Simplify right side
    1,548.57x = 1,816,321.78
  5. Step 5: Solve for x
    x = 1,816,321.78/1,548.57
  6. Step 6: Final answer
    x = 1,172.90

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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.