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Finding the Fourth Proportional to 2,627.49, 3,941.93 and 984.06

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Solution

The fourth proportional to 2,627.49, 3,941.93 and 984.06 is: 1,476.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.49 : 3,941.93 = 984.06 : x
  2. Step 2: Convert to fraction form
    2,627.49/3,941.93 = 984.06/x
  3. Step 3: Cross multiply
    2,627.49x = 3,941.93 × 984.06
  4. Step 4: Simplify right side
    2,627.49x = 3,879,090.72
  5. Step 5: Solve for x
    x = 3,879,090.72/2,627.49
  6. Step 6: Final answer
    x = 1,476.35

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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.