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Finding the Fourth Proportional to 2,621.60, 3,932.52 and 673.76

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Solution

The fourth proportional to 2,621.60, 3,932.52 and 673.76 is: 1,010.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.60 : 3,932.52 = 673.76 : x
  2. Step 2: Convert to fraction form
    2,621.60/3,932.52 = 673.76/x
  3. Step 3: Cross multiply
    2,621.60x = 3,932.52 × 673.76
  4. Step 4: Simplify right side
    2,621.60x = 2,649,574.68
  5. Step 5: Solve for x
    x = 2,649,574.68/2,621.60
  6. Step 6: Final answer
    x = 1,010.67

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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.