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Finding the Fourth Proportional to 1,362.81, 1,882.40 and 1,185.42

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Solution

The fourth proportional to 1,362.81, 1,882.40 and 1,185.42 is: 1,637.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.81 : 1,882.40 = 1,185.42 : x
  2. Step 2: Convert to fraction form
    1,362.81/1,882.40 = 1,185.42/x
  3. Step 3: Cross multiply
    1,362.81x = 1,882.40 × 1,185.42
  4. Step 4: Simplify right side
    1,362.81x = 2,231,434.61
  5. Step 5: Solve for x
    x = 2,231,434.61/1,362.81
  6. Step 6: Final answer
    x = 1,637.38

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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.