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Finding the Fourth Proportional to 3,491.30, 4,817.93 and 1,919.40

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Solution

The fourth proportional to 3,491.30, 4,817.93 and 1,919.40 is: 2,648.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.30 : 4,817.93 = 1,919.40 : x
  2. Step 2: Convert to fraction form
    3,491.30/4,817.93 = 1,919.40/x
  3. Step 3: Cross multiply
    3,491.30x = 4,817.93 × 1,919.40
  4. Step 4: Simplify right side
    3,491.30x = 9,247,517.97
  5. Step 5: Solve for x
    x = 9,247,517.97/3,491.30
  6. Step 6: Final answer
    x = 2,648.73

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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.