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Finding the Fourth Proportional to 1,549.11, 2,136.69 and 959.30

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Solution

The fourth proportional to 1,549.11, 2,136.69 and 959.30 is: 1,323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.11 : 2,136.69 = 959.30 : x
  2. Step 2: Convert to fraction form
    1,549.11/2,136.69 = 959.30/x
  3. Step 3: Cross multiply
    1,549.11x = 2,136.69 × 959.30
  4. Step 4: Simplify right side
    1,549.11x = 2,049,716.03
  5. Step 5: Solve for x
    x = 2,049,716.03/1,549.11
  6. Step 6: Final answer
    x = 1,323.16

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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.