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Finding the Fourth Proportional to 1,857.81, 2,786.88 and 523.59

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Solution

The fourth proportional to 1,857.81, 2,786.88 and 523.59 is: 785.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.81 : 2,786.88 = 523.59 : x
  2. Step 2: Convert to fraction form
    1,857.81/2,786.88 = 523.59/x
  3. Step 3: Cross multiply
    1,857.81x = 2,786.88 × 523.59
  4. Step 4: Simplify right side
    1,857.81x = 1,459,182.50
  5. Step 5: Solve for x
    x = 1,459,182.50/1,857.81
  6. Step 6: Final answer
    x = 785.43

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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.