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Finding the Fourth Proportional to 1,440.37, 1,986.89 and 997.50

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Solution

The fourth proportional to 1,440.37, 1,986.89 and 997.50 is: 1,375.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.37 : 1,986.89 = 997.50 : x
  2. Step 2: Convert to fraction form
    1,440.37/1,986.89 = 997.50/x
  3. Step 3: Cross multiply
    1,440.37x = 1,986.89 × 997.50
  4. Step 4: Simplify right side
    1,440.37x = 1,981,922.78
  5. Step 5: Solve for x
    x = 1,981,922.78/1,440.37
  6. Step 6: Final answer
    x = 1,375.98

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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.