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Finding the Fourth Proportional to 1,414.85, 1,950.43 and 993.94

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Solution

The fourth proportional to 1,414.85, 1,950.43 and 993.94 is: 1,370.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.85 : 1,950.43 = 993.94 : x
  2. Step 2: Convert to fraction form
    1,414.85/1,950.43 = 993.94/x
  3. Step 3: Cross multiply
    1,414.85x = 1,950.43 × 993.94
  4. Step 4: Simplify right side
    1,414.85x = 1,938,610.39
  5. Step 5: Solve for x
    x = 1,938,610.39/1,414.85
  6. Step 6: Final answer
    x = 1,370.19

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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.