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Finding the Fourth Proportional to 2,627.42, 3,938.78 and 984.04

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Solution

The fourth proportional to 2,627.42, 3,938.78 and 984.04 is: 1,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.42 : 3,938.78 = 984.04 : x
  2. Step 2: Convert to fraction form
    2,627.42/3,938.78 = 984.04/x
  3. Step 3: Cross multiply
    2,627.42x = 3,938.78 × 984.04
  4. Step 4: Simplify right side
    2,627.42x = 3,875,917.07
  5. Step 5: Solve for x
    x = 3,875,917.07/2,627.42
  6. Step 6: Final answer
    x = 1,475.18

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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.