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Finding the Fourth Proportional to 1,857.30, 2,786.16 and 761.78

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Solution

The fourth proportional to 1,857.30, 2,786.16 and 761.78 is: 1,142.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.30 : 2,786.16 = 761.78 : x
  2. Step 2: Convert to fraction form
    1,857.30/2,786.16 = 761.78/x
  3. Step 3: Cross multiply
    1,857.30x = 2,786.16 × 761.78
  4. Step 4: Simplify right side
    1,857.30x = 2,122,440.96
  5. Step 5: Solve for x
    x = 2,122,440.96/1,857.30
  6. Step 6: Final answer
    x = 1,142.76

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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.