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Finding the Fourth Proportional to 1,403.87, 1,936.17 and 1,194.62

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Solution

The fourth proportional to 1,403.87, 1,936.17 and 1,194.62 is: 1,647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.87 : 1,936.17 = 1,194.62 : x
  2. Step 2: Convert to fraction form
    1,403.87/1,936.17 = 1,194.62/x
  3. Step 3: Cross multiply
    1,403.87x = 1,936.17 × 1,194.62
  4. Step 4: Simplify right side
    1,403.87x = 2,312,977.72
  5. Step 5: Solve for x
    x = 2,312,977.72/1,403.87
  6. Step 6: Final answer
    x = 1,647.58

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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.