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Finding the Fourth Proportional to 2,627.48, 3,941.20 and 984.80

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Solution

The fourth proportional to 2,627.48, 3,941.20 and 984.80 is: 1,477.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.48 : 3,941.20 = 984.80 : x
  2. Step 2: Convert to fraction form
    2,627.48/3,941.20 = 984.80/x
  3. Step 3: Cross multiply
    2,627.48x = 3,941.20 × 984.80
  4. Step 4: Simplify right side
    2,627.48x = 3,881,293.76
  5. Step 5: Solve for x
    x = 3,881,293.76/2,627.48
  6. Step 6: Final answer
    x = 1,477.19

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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.