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Finding the Fourth Proportional to 1,859.53, 2,786.86 and 762.61

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Solution

The fourth proportional to 1,859.53, 2,786.86 and 762.61 is: 1,142.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.53 : 2,786.86 = 762.61 : x
  2. Step 2: Convert to fraction form
    1,859.53/2,786.86 = 762.61/x
  3. Step 3: Cross multiply
    1,859.53x = 2,786.86 × 762.61
  4. Step 4: Simplify right side
    1,859.53x = 2,125,287.30
  5. Step 5: Solve for x
    x = 2,125,287.30/1,859.53
  6. Step 6: Final answer
    x = 1,142.92

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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.