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Finding the Fourth Proportional to 2,627.68, 3,942.71 and 984.35

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Solution

The fourth proportional to 2,627.68, 3,942.71 and 984.35 is: 1,476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.68 : 3,942.71 = 984.35 : x
  2. Step 2: Convert to fraction form
    2,627.68/3,942.71 = 984.35/x
  3. Step 3: Cross multiply
    2,627.68x = 3,942.71 × 984.35
  4. Step 4: Simplify right side
    2,627.68x = 3,881,006.59
  5. Step 5: Solve for x
    x = 3,881,006.59/2,627.68
  6. Step 6: Final answer
    x = 1,476.97

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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.