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Finding the Fourth Proportional to 2,627.40, 3,940.38 and 983.82

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Solution

The fourth proportional to 2,627.40, 3,940.38 and 983.82 is: 1,475.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.40 : 3,940.38 = 983.82 : x
  2. Step 2: Convert to fraction form
    2,627.40/3,940.38 = 983.82/x
  3. Step 3: Cross multiply
    2,627.40x = 3,940.38 × 983.82
  4. Step 4: Simplify right side
    2,627.40x = 3,876,624.65
  5. Step 5: Solve for x
    x = 3,876,624.65/2,627.40
  6. Step 6: Final answer
    x = 1,475.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.