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Finding the Fourth Proportional to 1,403.53, 1,936.71 and 1,193.33

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Solution

The fourth proportional to 1,403.53, 1,936.71 and 1,193.33 is: 1,646.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.53 : 1,936.71 = 1,193.33 : x
  2. Step 2: Convert to fraction form
    1,403.53/1,936.71 = 1,193.33/x
  3. Step 3: Cross multiply
    1,403.53x = 1,936.71 × 1,193.33
  4. Step 4: Simplify right side
    1,403.53x = 2,311,138.99
  5. Step 5: Solve for x
    x = 2,311,138.99/1,403.53
  6. Step 6: Final answer
    x = 1,646.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.