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Finding the Fourth Proportional to 1,399.14, 1,922.71 and 1,334.90

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Solution

The fourth proportional to 1,399.14, 1,922.71 and 1,334.90 is: 1,834.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.14 : 1,922.71 = 1,334.90 : x
  2. Step 2: Convert to fraction form
    1,399.14/1,922.71 = 1,334.90/x
  3. Step 3: Cross multiply
    1,399.14x = 1,922.71 × 1,334.90
  4. Step 4: Simplify right side
    1,399.14x = 2,566,625.58
  5. Step 5: Solve for x
    x = 2,566,625.58/1,399.14
  6. Step 6: Final answer
    x = 1,834.43

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.