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Finding the Fourth Proportional to 1,426.82, 1,969.38 and 867.65

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Solution

The fourth proportional to 1,426.82, 1,969.38 and 867.65 is: 1,197.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.82 : 1,969.38 = 867.65 : x
  2. Step 2: Convert to fraction form
    1,426.82/1,969.38 = 867.65/x
  3. Step 3: Cross multiply
    1,426.82x = 1,969.38 × 867.65
  4. Step 4: Simplify right side
    1,426.82x = 1,708,722.71
  5. Step 5: Solve for x
    x = 1,708,722.71/1,426.82
  6. Step 6: Final answer
    x = 1,197.58

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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.