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Finding the Fourth Proportional to 2,652.29, 3,976.89 and 1,775.79

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Solution

The fourth proportional to 2,652.29, 3,976.89 and 1,775.79 is: 2,662.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.29 : 3,976.89 = 1,775.79 : x
  2. Step 2: Convert to fraction form
    2,652.29/3,976.89 = 1,775.79/x
  3. Step 3: Cross multiply
    2,652.29x = 3,976.89 × 1,775.79
  4. Step 4: Simplify right side
    2,652.29x = 7,062,121.49
  5. Step 5: Solve for x
    x = 7,062,121.49/2,652.29
  6. Step 6: Final answer
    x = 2,662.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.