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Finding the Fourth Proportional to 1,857.62, 2,786.23 and 761.90

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Solution

The fourth proportional to 1,857.62, 2,786.23 and 761.90 is: 1,142.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.62 : 2,786.23 = 761.90 : x
  2. Step 2: Convert to fraction form
    1,857.62/2,786.23 = 761.90/x
  3. Step 3: Cross multiply
    1,857.62x = 2,786.23 × 761.90
  4. Step 4: Simplify right side
    1,857.62x = 2,122,828.64
  5. Step 5: Solve for x
    x = 2,122,828.64/1,857.62
  6. Step 6: Final answer
    x = 1,142.77

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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.