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Finding the Fourth Proportional to 2,627.48, 3,940.68 and 983.96

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Solution

The fourth proportional to 2,627.48, 3,940.68 and 983.96 is: 1,475.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.48 : 3,940.68 = 983.96 : x
  2. Step 2: Convert to fraction form
    2,627.48/3,940.68 = 983.96/x
  3. Step 3: Cross multiply
    2,627.48x = 3,940.68 × 983.96
  4. Step 4: Simplify right side
    2,627.48x = 3,877,471.49
  5. Step 5: Solve for x
    x = 3,877,471.49/2,627.48
  6. Step 6: Final answer
    x = 1,475.74

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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.