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Finding the Fourth Proportional to 1,857.49, 2,786.14 and 932.75

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Solution

The fourth proportional to 1,857.49, 2,786.14 and 932.75 is: 1,399.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.49 : 2,786.14 = 932.75 : x
  2. Step 2: Convert to fraction form
    1,857.49/2,786.14 = 932.75/x
  3. Step 3: Cross multiply
    1,857.49x = 2,786.14 × 932.75
  4. Step 4: Simplify right side
    1,857.49x = 2,598,772.09
  5. Step 5: Solve for x
    x = 2,598,772.09/1,857.49
  6. Step 6: Final answer
    x = 1,399.08

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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.