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Finding the Fourth Proportional to 3,073.38, 4,606.46 and 1,426.46

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Solution

The fourth proportional to 3,073.38, 4,606.46 and 1,426.46 is: 2,138.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.38 : 4,606.46 = 1,426.46 : x
  2. Step 2: Convert to fraction form
    3,073.38/4,606.46 = 1,426.46/x
  3. Step 3: Cross multiply
    3,073.38x = 4,606.46 × 1,426.46
  4. Step 4: Simplify right side
    3,073.38x = 6,570,906.12
  5. Step 5: Solve for x
    x = 6,570,906.12/3,073.38
  6. Step 6: Final answer
    x = 2,138.01

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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.