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Finding the Fourth Proportional to 2,056.82, 3,070.02 and 1,912.34

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Solution

The fourth proportional to 2,056.82, 3,070.02 and 1,912.34 is: 2,854.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.82 : 3,070.02 = 1,912.34 : x
  2. Step 2: Convert to fraction form
    2,056.82/3,070.02 = 1,912.34/x
  3. Step 3: Cross multiply
    2,056.82x = 3,070.02 × 1,912.34
  4. Step 4: Simplify right side
    2,056.82x = 5,870,922.05
  5. Step 5: Solve for x
    x = 5,870,922.05/2,056.82
  6. Step 6: Final answer
    x = 2,854.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.