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Finding the Fourth Proportional to 1,919.88, 2,880 and 1,155.24

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Solution

The fourth proportional to 1,919.88, 2,880 and 1,155.24 is: 1,732.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.88 : 2,880 = 1,155.24 : x
  2. Step 2: Convert to fraction form
    1,919.88/2,880 = 1,155.24/x
  3. Step 3: Cross multiply
    1,919.88x = 2,880 × 1,155.24
  4. Step 4: Simplify right side
    1,919.88x = 3,327,091.20
  5. Step 5: Solve for x
    x = 3,327,091.20/1,919.88
  6. Step 6: Final answer
    x = 1,732.97

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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.