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Finding the Fourth Proportional to 2,919.57, 4,028.89 and 1,660.68

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Solution

The fourth proportional to 2,919.57, 4,028.89 and 1,660.68 is: 2,291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.57 : 4,028.89 = 1,660.68 : x
  2. Step 2: Convert to fraction form
    2,919.57/4,028.89 = 1,660.68/x
  3. Step 3: Cross multiply
    2,919.57x = 4,028.89 × 1,660.68
  4. Step 4: Simplify right side
    2,919.57x = 6,690,697.05
  5. Step 5: Solve for x
    x = 6,690,697.05/2,919.57
  6. Step 6: Final answer
    x = 2,291.67

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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.