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Finding the Fourth Proportional to 1,919.68, 2,648 and 1,453.12

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Solution

The fourth proportional to 1,919.68, 2,648 and 1,453.12 is: 2,004.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.68 : 2,648 = 1,453.12 : x
  2. Step 2: Convert to fraction form
    1,919.68/2,648 = 1,453.12/x
  3. Step 3: Cross multiply
    1,919.68x = 2,648 × 1,453.12
  4. Step 4: Simplify right side
    1,919.68x = 3,847,861.76
  5. Step 5: Solve for x
    x = 3,847,861.76/1,919.68
  6. Step 6: Final answer
    x = 2,004.43

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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.