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Finding the Fourth Proportional to 1,619.43, 2,428.26 and 694.41

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Solution

The fourth proportional to 1,619.43, 2,428.26 and 694.41 is: 1,041.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.43 : 2,428.26 = 694.41 : x
  2. Step 2: Convert to fraction form
    1,619.43/2,428.26 = 694.41/x
  3. Step 3: Cross multiply
    1,619.43x = 2,428.26 × 694.41
  4. Step 4: Simplify right side
    1,619.43x = 1,686,208.03
  5. Step 5: Solve for x
    x = 1,686,208.03/1,619.43
  6. Step 6: Final answer
    x = 1,041.24

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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.