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Finding the Fourth Proportional to 2,765.87, 3,816.54 and 1,771.24

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Solution

The fourth proportional to 2,765.87, 3,816.54 and 1,771.24 is: 2,444.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.87 : 3,816.54 = 1,771.24 : x
  2. Step 2: Convert to fraction form
    2,765.87/3,816.54 = 1,771.24/x
  3. Step 3: Cross multiply
    2,765.87x = 3,816.54 × 1,771.24
  4. Step 4: Simplify right side
    2,765.87x = 6,760,021.64
  5. Step 5: Solve for x
    x = 6,760,021.64/2,765.87
  6. Step 6: Final answer
    x = 2,444.08

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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.