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Finding the Fourth Proportional to 1,912.64, 2,868.69 and 613.94

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Solution

The fourth proportional to 1,912.64, 2,868.69 and 613.94 is: 920.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.64 : 2,868.69 = 613.94 : x
  2. Step 2: Convert to fraction form
    1,912.64/2,868.69 = 613.94/x
  3. Step 3: Cross multiply
    1,912.64x = 2,868.69 × 613.94
  4. Step 4: Simplify right side
    1,912.64x = 1,761,210.71
  5. Step 5: Solve for x
    x = 1,761,210.71/1,912.64
  6. Step 6: Final answer
    x = 920.83

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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.