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Finding the Fourth Proportional to 2,627.63, 3,941.55 and 872.79

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Solution

The fourth proportional to 2,627.63, 3,941.55 and 872.79 is: 1,309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.63 : 3,941.55 = 872.79 : x
  2. Step 2: Convert to fraction form
    2,627.63/3,941.55 = 872.79/x
  3. Step 3: Cross multiply
    2,627.63x = 3,941.55 × 872.79
  4. Step 4: Simplify right side
    2,627.63x = 3,440,145.42
  5. Step 5: Solve for x
    x = 3,440,145.42/2,627.63
  6. Step 6: Final answer
    x = 1,309.22

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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.