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Finding the Fourth Proportional to 2,344.12, 3,517.52 and 883.22

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Solution

The fourth proportional to 2,344.12, 3,517.52 and 883.22 is: 1,325.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.12 : 3,517.52 = 883.22 : x
  2. Step 2: Convert to fraction form
    2,344.12/3,517.52 = 883.22/x
  3. Step 3: Cross multiply
    2,344.12x = 3,517.52 × 883.22
  4. Step 4: Simplify right side
    2,344.12x = 3,106,744.01
  5. Step 5: Solve for x
    x = 3,106,744.01/2,344.12
  6. Step 6: Final answer
    x = 1,325.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.