Home / 1,548.09-2,136.30-849.48

Finding the Fourth Proportional to 1,548.09, 2,136.30 and 849.48

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Solution

The fourth proportional to 1,548.09, 2,136.30 and 849.48 is: 1,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.09 : 2,136.30 = 849.48 : x
  2. Step 2: Convert to fraction form
    1,548.09/2,136.30 = 849.48/x
  3. Step 3: Cross multiply
    1,548.09x = 2,136.30 × 849.48
  4. Step 4: Simplify right side
    1,548.09x = 1,814,744.12
  5. Step 5: Solve for x
    x = 1,814,744.12/1,548.09
  6. Step 6: Final answer
    x = 1,172.25

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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.