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Finding the Fourth Proportional to 2,070.66, 3,086.35 and 1,912.66

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Solution

The fourth proportional to 2,070.66, 3,086.35 and 1,912.66 is: 2,850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.66 : 3,086.35 = 1,912.66 : x
  2. Step 2: Convert to fraction form
    2,070.66/3,086.35 = 1,912.66/x
  3. Step 3: Cross multiply
    2,070.66x = 3,086.35 × 1,912.66
  4. Step 4: Simplify right side
    2,070.66x = 5,903,153.81
  5. Step 5: Solve for x
    x = 5,903,153.81/2,070.66
  6. Step 6: Final answer
    x = 2,850.85

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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.