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Finding the Fourth Proportional to 2,765.35, 3,816.18 and 1,523.35

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Solution

The fourth proportional to 2,765.35, 3,816.18 and 1,523.35 is: 2,102.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.35 : 3,816.18 = 1,523.35 : x
  2. Step 2: Convert to fraction form
    2,765.35/3,816.18 = 1,523.35/x
  3. Step 3: Cross multiply
    2,765.35x = 3,816.18 × 1,523.35
  4. Step 4: Simplify right side
    2,765.35x = 5,813,353.97
  5. Step 5: Solve for x
    x = 5,813,353.97/2,765.35
  6. Step 6: Final answer
    x = 2,102.22

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