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Finding the Fourth Proportional to 2,706.60, 4,059.78 and 1,912.72

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Solution

The fourth proportional to 2,706.60, 4,059.78 and 1,912.72 is: 2,869.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.60 : 4,059.78 = 1,912.72 : x
  2. Step 2: Convert to fraction form
    2,706.60/4,059.78 = 1,912.72/x
  3. Step 3: Cross multiply
    2,706.60x = 4,059.78 × 1,912.72
  4. Step 4: Simplify right side
    2,706.60x = 7,765,222.40
  5. Step 5: Solve for x
    x = 7,765,222.40/2,706.60
  6. Step 6: Final answer
    x = 2,869.00

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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.