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Finding the Fourth Proportional to 1,440.88, 1,986.60 and 942.73

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Solution

The fourth proportional to 1,440.88, 1,986.60 and 942.73 is: 1,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.88 : 1,986.60 = 942.73 : x
  2. Step 2: Convert to fraction form
    1,440.88/1,986.60 = 942.73/x
  3. Step 3: Cross multiply
    1,440.88x = 1,986.60 × 942.73
  4. Step 4: Simplify right side
    1,440.88x = 1,872,822.70
  5. Step 5: Solve for x
    x = 1,872,822.70/1,440.88
  6. Step 6: Final answer
    x = 1,299.78

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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.