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Finding the Fourth Proportional to 1,741.81, 2,612.49 and 863.97

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Solution

The fourth proportional to 1,741.81, 2,612.49 and 863.97 is: 1,295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.81 : 2,612.49 = 863.97 : x
  2. Step 2: Convert to fraction form
    1,741.81/2,612.49 = 863.97/x
  3. Step 3: Cross multiply
    1,741.81x = 2,612.49 × 863.97
  4. Step 4: Simplify right side
    1,741.81x = 2,257,114.64
  5. Step 5: Solve for x
    x = 2,257,114.64/1,741.81
  6. Step 6: Final answer
    x = 1,295.84

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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.