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Finding the Fourth Proportional to 2,621.64, 3,932.61 and 673.77

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Solution

The fourth proportional to 2,621.64, 3,932.61 and 673.77 is: 1,010.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.64 : 3,932.61 = 673.77 : x
  2. Step 2: Convert to fraction form
    2,621.64/3,932.61 = 673.77/x
  3. Step 3: Cross multiply
    2,621.64x = 3,932.61 × 673.77
  4. Step 4: Simplify right side
    2,621.64x = 2,649,674.64
  5. Step 5: Solve for x
    x = 2,649,674.64/2,621.64
  6. Step 6: Final answer
    x = 1,010.69

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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.