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Finding the Fourth Proportional to 2,919.84, 4,380.72 and 1,189.92

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Solution

The fourth proportional to 2,919.84, 4,380.72 and 1,189.92 is: 1,785.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.84 : 4,380.72 = 1,189.92 : x
  2. Step 2: Convert to fraction form
    2,919.84/4,380.72 = 1,189.92/x
  3. Step 3: Cross multiply
    2,919.84x = 4,380.72 × 1,189.92
  4. Step 4: Simplify right side
    2,919.84x = 5,212,706.34
  5. Step 5: Solve for x
    x = 5,212,706.34/2,919.84
  6. Step 6: Final answer
    x = 1,785.27

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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.