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Finding the Fourth Proportional to 2,765.88, 3,816.91 and 1,523.88

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Solution

The fourth proportional to 2,765.88, 3,816.91 and 1,523.88 is: 2,102.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.88 : 3,816.91 = 1,523.88 : x
  2. Step 2: Convert to fraction form
    2,765.88/3,816.91 = 1,523.88/x
  3. Step 3: Cross multiply
    2,765.88x = 3,816.91 × 1,523.88
  4. Step 4: Simplify right side
    2,765.88x = 5,816,512.81
  5. Step 5: Solve for x
    x = 5,816,512.81/2,765.88
  6. Step 6: Final answer
    x = 2,102.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.