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Finding the Fourth Proportional to 1,786.50, 2,681.19 and 921.06

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Solution

The fourth proportional to 1,786.50, 2,681.19 and 921.06 is: 1,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.50 : 2,681.19 = 921.06 : x
  2. Step 2: Convert to fraction form
    1,786.50/2,681.19 = 921.06/x
  3. Step 3: Cross multiply
    1,786.50x = 2,681.19 × 921.06
  4. Step 4: Simplify right side
    1,786.50x = 2,469,536.86
  5. Step 5: Solve for x
    x = 2,469,536.86/1,786.50
  6. Step 6: Final answer
    x = 1,382.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.