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Finding the Fourth Proportional to 1,548.53, 2,136.95 and 849.89

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Solution

The fourth proportional to 1,548.53, 2,136.95 and 849.89 is: 1,172.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.53 : 2,136.95 = 849.89 : x
  2. Step 2: Convert to fraction form
    1,548.53/2,136.95 = 849.89/x
  3. Step 3: Cross multiply
    1,548.53x = 2,136.95 × 849.89
  4. Step 4: Simplify right side
    1,548.53x = 1,816,168.19
  5. Step 5: Solve for x
    x = 1,816,168.19/1,548.53
  6. Step 6: Final answer
    x = 1,172.83

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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.