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Finding the Fourth Proportional to 1,371.39, 2,057.09 and 446.94

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Solution

The fourth proportional to 1,371.39, 2,057.09 and 446.94 is: 670.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.39 : 2,057.09 = 446.94 : x
  2. Step 2: Convert to fraction form
    1,371.39/2,057.09 = 446.94/x
  3. Step 3: Cross multiply
    1,371.39x = 2,057.09 × 446.94
  4. Step 4: Simplify right side
    1,371.39x = 919,395.80
  5. Step 5: Solve for x
    x = 919,395.80/1,371.39
  6. Step 6: Final answer
    x = 670.41

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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.